diff --git a/nassl/_nassl/nassl_SSL.c b/nassl/_nassl/nassl_SSL.c
index f898360..29127b5 100755
--- a/nassl/_nassl/nassl_SSL.c
+++ b/nassl/_nassl/nassl_SSL.c
@@ -813,6 +813,66 @@ static PyObject* nassl_SSL_set_ciphersuites(nassl_SSL_Object *self, PyObject *ar
 }
 
 
+// SSL_set1_sigalgs() is only available in OpenSSL 1.1.1
+static PyObject* nassl_SSL_set1_sigalgs(nassl_SSL_Object *self, PyObject *args)
+{
+    int i = 0;
+    PyObject *pyListOfOpensslNids;
+    Py_ssize_t nidsCount = 0;
+    int *listOfNids;
+
+    // Parse the Python list
+    if (!PyArg_ParseTuple(args, "O!", &PyList_Type, &pyListOfOpensslNids))
+    {
+        return NULL;
+    }
+
+    // Extract each NID int from the list
+    nidsCount = PyList_Size(pyListOfOpensslNids);
+    listOfNids = (int *) PyMem_Malloc(nidsCount * sizeof(int));
+    if (listOfNids == NULL)
+    {
+        return PyErr_NoMemory();
+    }
+
+    for (i=0; i<nidsCount; i++)
+    {
+        PyObject *pyNid;
+        int nid;
+
+        pyNid = PyList_GetItem(pyListOfOpensslNids, i);
+        if ((pyNid == NULL) || (!PyLong_Check(pyNid)))
+        {
+            PyMem_Free(listOfNids);
+            return NULL;
+        }
+        nid = PyLong_AsSize_t(pyNid);
+        listOfNids[i] = nid;
+    }
+
+    if (SSL_set1_sigalgs(self->ssl, listOfNids, nidsCount) != 1)
+    {
+        PyMem_Free(listOfNids);
+        return raise_OpenSSL_error();
+    }
+
+    PyMem_Free(listOfNids);
+    Py_RETURN_NONE;
+}
+
+
+static PyObject* nassl_get_peer_signature_nid(nassl_SSL_Object *self)
+{
+    int psig_nid;
+
+    if(SSL_get_peer_signature_nid(self->ssl, &psig_nid) != 1)
+    {
+            return raise_OpenSSL_error();
+    }
+    return PyLong_FromUnsignedLong((long)psig_nid);
+}
+
+
 static PyObject* nassl_SSL_get0_verified_chain(nassl_SSL_Object *self, PyObject *args)
 {
     STACK_OF(X509) *verifiedCertChain = NULL;
@@ -1181,6 +1241,12 @@ static PyMethodDef nassl_SSL_Object_methods[] =
     {"set_ciphersuites", (PyCFunction)nassl_SSL_set_ciphersuites, METH_VARARGS,
      "OpenSSL's SSL_set_ciphersuites()."
     },
+    {"set1_sigalgs", (PyCFunction)nassl_SSL_set1_sigalgs, METH_VARARGS,
+     "OpenSSL's SSL_set1_sigalgs()."
+    },
+    {"get_peer_signature_nid", (PyCFunction)nassl_get_peer_signature_nid, METH_NOARGS,
+     "OpenSSL's get_peer_signature_nid(). Returns a digest NID"
+    },
     {"get0_verified_chain", (PyCFunction)nassl_SSL_get0_verified_chain, METH_NOARGS,
      "OpenSSL's SSL_get0_verified_chain(). Returns an array of _nassl.X509 objects."
     },
diff --git a/nassl/ephemeral_key_info.py b/nassl/ephemeral_key_info.py
index 8d7fcfd..d33d1be 100644
--- a/nassl/ephemeral_key_info.py
+++ b/nassl/ephemeral_key_info.py
@@ -12,6 +12,9 @@ class OpenSslEvpPkeyEnum(IntEnum):
     EC = 408
     X25519 = 1034
     X448 = 1035
+    RSA = 6
+    DSA = 116
+    RSA_PSS = 912
 
 
 class OpenSslEcNidEnum(IntEnum):
diff --git a/nassl/ssl_client.py b/nassl/ssl_client.py
index 0d38de0..58651f9 100755
--- a/nassl/ssl_client.py
+++ b/nassl/ssl_client.py
@@ -6,7 +6,7 @@
 from nassl._nassl import WantReadError, OpenSSLError, WantX509LookupError
 
 from enum import IntEnum
-from typing import List, Any
+from typing import List, Any, Tuple
 
 from typing import Protocol
 
@@ -32,6 +32,17 @@ class OpenSslVerifyEnum(IntEnum):
     CLIENT_ONCE = 4
 
 
+class OpenSslDigestNidEnum(IntEnum):
+    """SSL digest algorithms used for the signature algorithm, per obj_mac.h."""
+
+    MD5 = 4
+    SHA1 = 64
+    SHA224 = 675
+    SHA256 = 672
+    SHA384 = 673
+    SHA512 = 674
+
+
 class OpenSslVersionEnum(IntEnum):
     """SSL version constants."""
 
@@ -449,6 +460,15 @@ def set_ciphersuites(self, cipher_suites: str) -> None:
         # TODO(AD): Eventually merge this method with get/set_cipher_list()
         self._ssl.set_ciphersuites(cipher_suites)
 
+    def set_sigalgs(self, sigalgs: List[Tuple[OpenSslDigestNidEnum, OpenSslEvpPkeyEnum]]) -> None:
+        """Set the enabled signature algorithms for the key exchange."""
+        flattened_sigalgs = [item for sublist in sigalgs for item in sublist]
+        self._ssl.set1_sigalgs(flattened_sigalgs)
+
+    def get_peer_signature_nid(self) -> OpenSslDigestNidEnum:
+        """Get the digest used for TLS message signing."""
+        return OpenSslDigestNidEnum(self._ssl.get_peer_signature_nid())
+
     def set_groups(self, supported_groups: List[OpenSslEcNidEnum]) -> None:
         """Specify elliptic curves or DH groups that are supported by the client in descending order."""
         self._ssl.set1_groups(supported_groups)
diff --git a/tests/ssl_client_test.py b/tests/ssl_client_test.py
index 4cf9d6a..8d43d7a 100644
--- a/tests/ssl_client_test.py
+++ b/tests/ssl_client_test.py
@@ -11,7 +11,7 @@
     OpenSslVerifyEnum,
     SslClient,
     OpenSSLError,
-    OpenSslEarlyDataStatusEnum,
+    OpenSslEarlyDataStatusEnum, OpenSslDigestNidEnum,
 )
 from nassl.ephemeral_key_info import (
     OpenSslEvpPkeyEnum,
@@ -217,6 +217,8 @@ def test_get_verified_chain(self):
 
             # And when requesting the verified certificate chain, it returns it
             assert ssl_client.get_verified_chain()
+
+            assert ssl_client.get_peer_signature_nid() == OpenSslDigestNidEnum.SHA256
         finally:
             ssl_client.shutdown()
 
@@ -424,6 +426,26 @@ def test_set_ciphersuites(self):
         # And client's cipher suite was used
         assert "TLS_CHACHA20_POLY1305_SHA256" == ssl_client.get_current_cipher_name()
 
+    def test_set_sigalgs(self):
+        with ModernOpenSslServer() as server:
+            sock = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
+            sock.settimeout(5)
+            sock.connect((server.hostname, server.port))
+
+            ssl_client = SslClient(
+                ssl_version=OpenSslVersionEnum.TLSV1_3,
+                underlying_socket=sock,
+                ssl_verify=OpenSslVerifyEnum.NONE,
+            )
+            # These signature algorithms are unsupported
+            ssl_client.set_sigalgs([
+                (OpenSslDigestNidEnum.SHA512, OpenSslEvpPkeyEnum.EC)
+            ])
+
+            with pytest.raises(OpenSSLError):
+                ssl_client.do_handshake()
+            ssl_client.shutdown()
+
     @staticmethod
     def _create_tls_1_3_session(server_host: str, server_port: int) -> _nassl.SSL_SESSION:
         sock = socket.socket(socket.AF_INET, socket.SOCK_STREAM)