diff --git a/crypto/evp/evp_ctx.c b/crypto/evp/evp_ctx.c
index 3599f778..daa1954b 100644
--- a/crypto/evp/evp_ctx.c
+++ b/crypto/evp/evp_ctx.c
@@ -415,7 +415,7 @@ int EVP_PKEY_keygen_init(EVP_PKEY_CTX *ctx) {
   return 1;
 }
 
-int EVP_PKEY_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY **ppkey) {
+int EVP_PKEY_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY **out_pkey) {
   if (!ctx || !ctx->pmeth || !ctx->pmeth->keygen) {
     OPENSSL_PUT_ERROR(EVP, EVP_R_OPERATION_NOT_SUPPORTED_FOR_THIS_KEYTYPE);
     return 0;
@@ -425,21 +425,60 @@ int EVP_PKEY_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY **ppkey) {
     return 0;
   }
 
-  if (!ppkey) {
+  if (!out_pkey) {
     return 0;
   }
 
-  if (!*ppkey) {
-    *ppkey = EVP_PKEY_new();
-    if (!*ppkey) {
+  if (!*out_pkey) {
+    *out_pkey = EVP_PKEY_new();
+    if (!*out_pkey) {
       OPENSSL_PUT_ERROR(EVP, ERR_LIB_EVP);
       return 0;
     }
   }
 
-  if (!ctx->pmeth->keygen(ctx, *ppkey)) {
-    EVP_PKEY_free(*ppkey);
-    *ppkey = NULL;
+  if (!ctx->pmeth->keygen(ctx, *out_pkey)) {
+    EVP_PKEY_free(*out_pkey);
+    *out_pkey = NULL;
+    return 0;
+  }
+  return 1;
+}
+
+int EVP_PKEY_paramgen_init(EVP_PKEY_CTX *ctx) {
+  if (!ctx || !ctx->pmeth || !ctx->pmeth->paramgen) {
+    OPENSSL_PUT_ERROR(EVP, EVP_R_OPERATION_NOT_SUPPORTED_FOR_THIS_KEYTYPE);
+    return 0;
+  }
+  ctx->operation = EVP_PKEY_OP_PARAMGEN;
+  return 1;
+}
+
+int EVP_PKEY_paramgen(EVP_PKEY_CTX *ctx, EVP_PKEY **out_pkey) {
+  if (!ctx || !ctx->pmeth || !ctx->pmeth->paramgen) {
+    OPENSSL_PUT_ERROR(EVP, EVP_R_OPERATION_NOT_SUPPORTED_FOR_THIS_KEYTYPE);
+    return 0;
+  }
+  if (ctx->operation != EVP_PKEY_OP_PARAMGEN) {
+    OPENSSL_PUT_ERROR(EVP, EVP_R_OPERATON_NOT_INITIALIZED);
+    return 0;
+  }
+
+  if (!out_pkey) {
+    return 0;
+  }
+
+  if (!*out_pkey) {
+    *out_pkey = EVP_PKEY_new();
+    if (!*out_pkey) {
+      OPENSSL_PUT_ERROR(EVP, ERR_LIB_EVP);
+      return 0;
+    }
+  }
+
+  if (!ctx->pmeth->paramgen(ctx, *out_pkey)) {
+    EVP_PKEY_free(*out_pkey);
+    *out_pkey = NULL;
     return 0;
   }
   return 1;
diff --git a/crypto/evp/evp_extra_test.cc b/crypto/evp/evp_extra_test.cc
index f12650ef..1f6a61d3 100644
--- a/crypto/evp/evp_extra_test.cc
+++ b/crypto/evp/evp_extra_test.cc
@@ -638,3 +638,60 @@ TEST(EVPExtraTest, Ed25519) {
   EXPECT_FALSE(EVP_DigestVerifyFinal(ctx.get(), nullptr, 0));
   ERR_clear_error();
 }
+
+static void ExpectECGroupOnly(const EVP_PKEY *pkey, int nid) {
+  EC_KEY *ec = EVP_PKEY_get0_EC_KEY(pkey);
+  ASSERT_TRUE(ec);
+  const EC_GROUP *group = EC_KEY_get0_group(ec);
+  ASSERT_TRUE(group);
+  EXPECT_EQ(nid, EC_GROUP_get_curve_name(group));
+  EXPECT_FALSE(EC_KEY_get0_public_key(ec));
+  EXPECT_FALSE(EC_KEY_get0_private_key(ec));
+}
+
+static void ExpectECGroupAndKey(const EVP_PKEY *pkey, int nid) {
+  EC_KEY *ec = EVP_PKEY_get0_EC_KEY(pkey);
+  ASSERT_TRUE(ec);
+  const EC_GROUP *group = EC_KEY_get0_group(ec);
+  ASSERT_TRUE(group);
+  EXPECT_EQ(nid, EC_GROUP_get_curve_name(group));
+  EXPECT_TRUE(EC_KEY_get0_public_key(ec));
+  EXPECT_TRUE(EC_KEY_get0_private_key(ec));
+}
+
+TEST(EVPExtraTest, ECKeygen) {
+  // |EVP_PKEY_paramgen| may be used as an extremely roundabout way to get an
+  // |EC_GROUP|.
+  bssl::UniquePtr<EVP_PKEY_CTX> ctx(EVP_PKEY_CTX_new_id(EVP_PKEY_EC, nullptr));
+  ASSERT_TRUE(ctx);
+  ASSERT_TRUE(EVP_PKEY_paramgen_init(ctx.get()));
+  ASSERT_TRUE(
+      EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx.get(), NID_X9_62_prime256v1));
+  EVP_PKEY *raw = nullptr;
+  ASSERT_TRUE(EVP_PKEY_paramgen(ctx.get(), &raw));
+  bssl::UniquePtr<EVP_PKEY> pkey(raw);
+  raw = nullptr;
+  ExpectECGroupOnly(pkey.get(), NID_X9_62_prime256v1);
+
+  // That resulting |EVP_PKEY| may be used as a template for key generation.
+  ctx.reset(EVP_PKEY_CTX_new(pkey.get(), nullptr));
+  ASSERT_TRUE(ctx);
+  ASSERT_TRUE(EVP_PKEY_keygen_init(ctx.get()));
+  raw = nullptr;
+  ASSERT_TRUE(EVP_PKEY_keygen(ctx.get(), &raw));
+  pkey.reset(raw);
+  raw = nullptr;
+  ExpectECGroupAndKey(pkey.get(), NID_X9_62_prime256v1);
+
+  // |EVP_PKEY_paramgen| may also be skipped.
+  ctx.reset(EVP_PKEY_CTX_new_id(EVP_PKEY_EC, nullptr));
+  ASSERT_TRUE(ctx);
+  ASSERT_TRUE(EVP_PKEY_keygen_init(ctx.get()));
+  ASSERT_TRUE(
+      EVP_PKEY_CTX_set_ec_paramgen_curve_nid(ctx.get(), NID_X9_62_prime256v1));
+  raw = nullptr;
+  ASSERT_TRUE(EVP_PKEY_keygen(ctx.get(), &raw));
+  pkey.reset(raw);
+  raw = nullptr;
+  ExpectECGroupAndKey(pkey.get(), NID_X9_62_prime256v1);
+}
diff --git a/crypto/evp/internal.h b/crypto/evp/internal.h
index 4aefa352..43847ea1 100644
--- a/crypto/evp/internal.h
+++ b/crypto/evp/internal.h
@@ -119,6 +119,7 @@ struct evp_pkey_asn1_method_st {
 #define EVP_PKEY_OP_ENCRYPT (1 << 6)
 #define EVP_PKEY_OP_DECRYPT (1 << 7)
 #define EVP_PKEY_OP_DERIVE (1 << 8)
+#define EVP_PKEY_OP_PARAMGEN (1 << 9)
 
 #define EVP_PKEY_OP_TYPE_SIG \
   (EVP_PKEY_OP_SIGN | EVP_PKEY_OP_VERIFY | EVP_PKEY_OP_VERIFYRECOVER)
@@ -128,7 +129,7 @@ struct evp_pkey_asn1_method_st {
 #define EVP_PKEY_OP_TYPE_NOGEN \
   (EVP_PKEY_OP_SIG | EVP_PKEY_OP_CRYPT | EVP_PKEY_OP_DERIVE)
 
-#define EVP_PKEY_OP_TYPE_GEN EVP_PKEY_OP_KEYGEN
+#define EVP_PKEY_OP_TYPE_GEN (EVP_PKEY_OP_KEYGEN | EVP_PKEY_OP_PARAMGEN)
 
 // EVP_PKEY_CTX_ctrl performs |cmd| on |ctx|. The |keytype| and |optype|
 // arguments can be -1 to specify that any type and operation are acceptable,
@@ -171,6 +172,7 @@ OPENSSL_EXPORT int EVP_PKEY_CTX_ctrl(EVP_PKEY_CTX *ctx, int keytype, int optype,
 #define EVP_PKEY_CTRL_GET_RSA_MGF1_MD (EVP_PKEY_ALG_CTRL + 10)
 #define EVP_PKEY_CTRL_RSA_OAEP_LABEL (EVP_PKEY_ALG_CTRL + 11)
 #define EVP_PKEY_CTRL_GET_RSA_OAEP_LABEL (EVP_PKEY_ALG_CTRL + 12)
+#define EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID (EVP_PKEY_ALG_CTRL + 13)
 
 struct evp_pkey_ctx_st {
   // Method associated with this operation
@@ -219,6 +221,8 @@ struct evp_pkey_method_st {
 
   int (*derive)(EVP_PKEY_CTX *ctx, uint8_t *key, size_t *keylen);
 
+  int (*paramgen)(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey);
+
   int (*ctrl)(EVP_PKEY_CTX *ctx, int type, int p1, void *p2);
 } /* EVP_PKEY_METHOD */;
 
diff --git a/crypto/evp/p_ec.c b/crypto/evp/p_ec.c
index d311d220..9c325ae0 100644
--- a/crypto/evp/p_ec.c
+++ b/crypto/evp/p_ec.c
@@ -76,6 +76,7 @@
 typedef struct {
   // message digest
   const EVP_MD *md;
+  EC_GROUP *gen_group;
 } EC_PKEY_CTX;
 
 
@@ -111,6 +112,7 @@ static void pkey_ec_cleanup(EVP_PKEY_CTX *ctx) {
     return;
   }
 
+  EC_GROUP_free(dctx->gen_group);
   OPENSSL_free(dctx);
 }
 
@@ -199,6 +201,16 @@ static int pkey_ec_ctrl(EVP_PKEY_CTX *ctx, int type, int p1, void *p2) {
       // Default behaviour is OK
       return 1;
 
+    case EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID: {
+      EC_GROUP *group = EC_GROUP_new_by_curve_name(p1);
+      if (group == NULL) {
+        return 0;
+      }
+      EC_GROUP_free(dctx->gen_group);
+      dctx->gen_group = group;
+      return 1;
+    }
+
     default:
       OPENSSL_PUT_ERROR(EVP, EVP_R_COMMAND_NOT_SUPPORTED);
       return 0;
@@ -206,14 +218,35 @@ static int pkey_ec_ctrl(EVP_PKEY_CTX *ctx, int type, int p1, void *p2) {
 }
 
 static int pkey_ec_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey) {
-  if (ctx->pkey == NULL) {
+  EC_PKEY_CTX *dctx = ctx->data;
+  const EC_GROUP *group = dctx->gen_group;
+  if (group == NULL) {
+    if (ctx->pkey == NULL) {
+      OPENSSL_PUT_ERROR(EVP, EVP_R_NO_PARAMETERS_SET);
+      return 0;
+    }
+    group = EC_KEY_get0_group(ctx->pkey->pkey.ec);
+  }
+  EC_KEY *ec = EC_KEY_new();
+  if (ec == NULL ||
+      !EC_KEY_set_group(ec, group) ||
+      !EC_KEY_generate_key(ec)) {
+    EC_KEY_free(ec);
+    return 0;
+  }
+  EVP_PKEY_assign_EC_KEY(pkey, ec);
+  return 1;
+}
+
+static int pkey_ec_paramgen(EVP_PKEY_CTX *ctx, EVP_PKEY *pkey) {
+  EC_PKEY_CTX *dctx = ctx->data;
+  if (dctx->gen_group == NULL) {
     OPENSSL_PUT_ERROR(EVP, EVP_R_NO_PARAMETERS_SET);
     return 0;
   }
   EC_KEY *ec = EC_KEY_new();
   if (ec == NULL ||
-      !EC_KEY_set_group(ec, EC_KEY_get0_group(ctx->pkey->pkey.ec)) ||
-      !EC_KEY_generate_key(ec)) {
+      !EC_KEY_set_group(ec, dctx->gen_group)) {
     EC_KEY_free(ec);
     return 0;
   }
@@ -235,5 +268,20 @@ const EVP_PKEY_METHOD ec_pkey_meth = {
     NULL /* encrypt */,
     NULL /* decrypt */,
     pkey_ec_derive,
+    pkey_ec_paramgen,
     pkey_ec_ctrl,
 };
+
+int EVP_PKEY_CTX_set_ec_paramgen_curve_nid(EVP_PKEY_CTX *ctx, int nid) {
+  return EVP_PKEY_CTX_ctrl(ctx, EVP_PKEY_EC, EVP_PKEY_OP_TYPE_GEN,
+                           EVP_PKEY_CTRL_EC_PARAMGEN_CURVE_NID, nid, NULL);
+}
+
+int EVP_PKEY_CTX_set_ec_param_enc(EVP_PKEY_CTX *ctx, int encoding) {
+  // BoringSSL only supports named curve syntax.
+  if (encoding != OPENSSL_EC_NAMED_CURVE) {
+    OPENSSL_PUT_ERROR(EVP, EVP_R_INVALID_PARAMETERS);
+    return 0;
+  }
+  return 1;
+}
diff --git a/crypto/evp/p_ed25519.c b/crypto/evp/p_ed25519.c
index 554a379c..062ea458 100644
--- a/crypto/evp/p_ed25519.c
+++ b/crypto/evp/p_ed25519.c
@@ -67,5 +67,6 @@ const EVP_PKEY_METHOD ed25519_pkey_meth = {
     NULL /* encrypt */,
     NULL /* decrypt */,
     NULL /* derive */,
+    NULL /* paramgen */,
     NULL /* ctrl */,
 };
diff --git a/crypto/evp/p_rsa.c b/crypto/evp/p_rsa.c
index cfc6bea1..eb59901e 100644
--- a/crypto/evp/p_rsa.c
+++ b/crypto/evp/p_rsa.c
@@ -553,7 +553,8 @@ const EVP_PKEY_METHOD rsa_pkey_meth = {
     pkey_rsa_verify_recover,
     pkey_rsa_encrypt,
     pkey_rsa_decrypt,
-    0 /* derive */,
+    NULL /* derive */,
+    NULL /* paramgen */,
     pkey_rsa_ctrl,
 };
 
diff --git a/include/openssl/ec.h b/include/openssl/ec.h
index 16dadf27..fcecb622 100644
--- a/include/openssl/ec.h
+++ b/include/openssl/ec.h
@@ -325,6 +325,7 @@ OPENSSL_EXPORT int EC_GROUP_get_order(const EC_GROUP *group, BIGNUM *order,
 OPENSSL_EXPORT void EC_GROUP_set_asn1_flag(EC_GROUP *group, int flag);
 
 #define OPENSSL_EC_NAMED_CURVE 0
+#define OPENSSL_EC_EXPLICIT_CURVE 1
 
 typedef struct ec_method_st EC_METHOD;
 
diff --git a/include/openssl/evp.h b/include/openssl/evp.h
index cbe93d80..c4469841 100644
--- a/include/openssl/evp.h
+++ b/include/openssl/evp.h
@@ -646,9 +646,23 @@ OPENSSL_EXPORT int EVP_PKEY_derive(EVP_PKEY_CTX *ctx, uint8_t *key,
 OPENSSL_EXPORT int EVP_PKEY_keygen_init(EVP_PKEY_CTX *ctx);
 
 // EVP_PKEY_keygen performs a key generation operation using the values from
-// |ctx| and sets |*ppkey| to a fresh |EVP_PKEY| containing the resulting key.
+// |ctx|. If |*out_pkey| is non-NULL, it overwrites |*out_pkey| with the
+// resulting key. Otherwise, it sets |*out_pkey| to a newly-allocated |EVP_PKEY|
+// containing the result. It returns one on success or zero on error.
+OPENSSL_EXPORT int EVP_PKEY_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY **out_pkey);
+
+// EVP_PKEY_paramgen_init initialises an |EVP_PKEY_CTX| for a parameter
+// generation operation. It should be called before |EVP_PKEY_paramgen|.
+//
 // It returns one on success or zero on error.
-OPENSSL_EXPORT int EVP_PKEY_keygen(EVP_PKEY_CTX *ctx, EVP_PKEY **ppkey);
+OPENSSL_EXPORT int EVP_PKEY_paramgen_init(EVP_PKEY_CTX *ctx);
+
+// EVP_PKEY_paramgen performs a parameter generation using the values from
+// |ctx|. If |*out_pkey| is non-NULL, it overwrites |*out_pkey| with the
+// resulting parameters, but no key. Otherwise, it sets |*out_pkey| to a
+// newly-allocated |EVP_PKEY| containing the result. It returns one on success
+// or zero on error.
+OPENSSL_EXPORT int EVP_PKEY_paramgen(EVP_PKEY_CTX *ctx, EVP_PKEY **out_pkey);
 
 
 // Generic control functions.
@@ -746,6 +760,15 @@ OPENSSL_EXPORT int EVP_PKEY_CTX_get0_rsa_oaep_label(EVP_PKEY_CTX *ctx,
                                                     const uint8_t **out_label);
 
 
+// EC specific control functions.
+
+// EVP_PKEY_CTX_set_ec_paramgen_curve_nid sets the curve used for
+// |EVP_PKEY_keygen| or |EVP_PKEY_paramgen| operations to |nid|. It returns one
+// on success and zero on error.
+OPENSSL_EXPORT int EVP_PKEY_CTX_set_ec_paramgen_curve_nid(EVP_PKEY_CTX *ctx,
+                                                          int nid);
+
+
 // Deprecated functions.
 
 // EVP_PKEY_DH is defined for compatibility, but it is impossible to create an
@@ -846,6 +869,11 @@ OPENSSL_EXPORT DH *EVP_PKEY_get0_DH(const EVP_PKEY *pkey);
 // EVP_PKEY_get1_DH returns NULL.
 OPENSSL_EXPORT DH *EVP_PKEY_get1_DH(const EVP_PKEY *pkey);
 
+// EVP_PKEY_CTX_set_ec_param_enc returns one if |encoding| is
+// |OPENSSL_EC_NAMED_CURVE| or zero with an error otherwise.
+OPENSSL_EXPORT int EVP_PKEY_CTX_set_ec_param_enc(EVP_PKEY_CTX *ctx,
+                                                 int encoding);
+
 
 // Preprocessor compatibility section (hidden).
 //