diff --git a/session_srtcp.go b/session_srtcp.go
index 753576f..f9954f9 100644
--- a/session_srtcp.go
+++ b/session_srtcp.go
@@ -138,14 +138,11 @@ func (s *SessionSRTCP) setWriteDeadline(t time.Time) error {
 	return s.session.nextConn.SetWriteDeadline(t)
 }
 
-// create a list of Destination SSRCs
-// that's a superset of all Destinations in the slice.
-func destinationSSRC(pkts []rtcp.Packet) []uint32 {
+// create a list of Destination SSRCs for the packet.
+func destinationSSRC(pkt rtcp.Packet) []uint32 {
 	ssrcSet := make(map[uint32]struct{})
-	for _, p := range pkts {
-		for _, ssrc := range p.DestinationSSRC() {
-			ssrcSet[ssrc] = struct{}{}
-		}
+	for _, ssrc := range pkt.DestinationSSRC() {
+		ssrcSet[ssrc] = struct{}{}
 	}
 
 	out := make([]uint32, 0, len(ssrcSet))
@@ -156,36 +153,44 @@ func destinationSSRC(pkts []rtcp.Packet) []uint32 {
 	return out
 }
 
+//nolint:cyclop
 func (s *SessionSRTCP) decrypt(buf []byte) error {
 	decrypted, err := s.remoteContext.DecryptRTCP(buf, buf, nil)
 	if err != nil {
 		return err
 	}
 
-	pkt, err := rtcp.Unmarshal(decrypted)
+	pkts, err := rtcp.Unmarshal(decrypted)
 	if err != nil {
 		return err
 	}
 
-	for _, ssrc := range destinationSSRC(pkt) {
-		r, isNew := s.session.getOrCreateReadStream(ssrc, s, newReadStreamSRTCP)
-		if r == nil {
-			return nil // Session has been closed
-		} else if isNew {
-			if !s.session.acceptStreamTimeout.IsZero() {
-				_ = s.session.nextConn.SetReadDeadline(time.Time{})
-			}
-			s.session.newStream <- r // Notify AcceptStream
+	for _, pkt := range pkts {
+		marshaled, err := pkt.Marshal()
+		if err != nil {
+			return err
 		}
 
-		readStream, ok := r.(*ReadStreamSRTCP)
-		if !ok {
-			return errFailedTypeAssertion
-		}
+		for _, ssrc := range destinationSSRC(pkt) {
+			r, isNew := s.session.getOrCreateReadStream(ssrc, s, newReadStreamSRTCP)
+			if r == nil {
+				return nil // Session has been closed
+			} else if isNew {
+				if !s.session.acceptStreamTimeout.IsZero() {
+					_ = s.session.nextConn.SetReadDeadline(time.Time{})
+				}
+				s.session.newStream <- r // Notify AcceptStream
+			}
 
-		_, err = readStream.write(decrypted)
-		if err != nil {
-			return err
+			readStream, ok := r.(*ReadStreamSRTCP)
+			if !ok {
+				return errFailedTypeAssertion
+			}
+
+			_, err = readStream.write(marshaled)
+			if err != nil {
+				return err
+			}
 		}
 	}
 
diff --git a/session_srtcp_test.go b/session_srtcp_test.go
index f297368..49cdc6f 100644
--- a/session_srtcp_test.go
+++ b/session_srtcp_test.go
@@ -245,6 +245,129 @@ func TestSessionSRTCPReplayProtection(t *testing.T) {
 		expectedSSRC, receivedSSRC)
 }
 
+func TestSessionSRTCPCompoundPacket(t *testing.T) {
+	lim := test.TimeOut(time.Second * 5)
+	defer lim.Stop()
+
+	report := test.CheckRoutines(t)
+	defer report()
+
+	testSSRCSenderReport1SR := uint32(0x902f9e2e)
+	testSSRCSenderReport1RR := uint32(0xbc5e9a40)
+	testSSRCCNAME := uint32(1234)
+	testSSRCSenderReport2SR := uint32(0x12345678)
+	aSession, bSession := buildSessionSRTCPPair(t)
+	bReadStreamSR1SR, err := bSession.OpenReadStream(testSSRCSenderReport1SR)
+	assert.NoError(t, err)
+	bReadStreamSR1RR, err := bSession.OpenReadStream(testSSRCSenderReport1RR)
+	assert.NoError(t, err)
+	bReadStreamCNAME, err := bSession.OpenReadStream(testSSRCCNAME)
+	assert.NoError(t, err)
+	bReadStreamSR2SR, err := bSession.OpenReadStream(testSSRCSenderReport2SR)
+	assert.NoError(t, err)
+
+	// Compound packet
+	// first packet - Sender Report with a Receiver Report
+	// seconde packet - Sender Report without a Receiver Report
+	cp := &rtcp.CompoundPacket{
+		&rtcp.SenderReport{
+			SSRC:        testSSRCSenderReport1SR,
+			NTPTime:     0xda8bd1fcdddda05a,
+			RTPTime:     0xaaf4edd5,
+			PacketCount: 1,
+			OctetCount:  2,
+			Reports: []rtcp.ReceptionReport{{
+				SSRC:               testSSRCSenderReport1RR,
+				FractionLost:       0,
+				TotalLost:          0,
+				LastSequenceNumber: 0x46e1,
+				Jitter:             273,
+				LastSenderReport:   0x9f36432,
+				Delay:              150137,
+			}},
+			ProfileExtensions: []byte{
+				0x81, 0xca, 0x0, 0x6,
+				0x2b, 0x7e, 0xc0, 0xc5,
+				0x1, 0x10, 0x4c, 0x63,
+				0x49, 0x66, 0x7a, 0x58,
+				0x6f, 0x6e, 0x44, 0x6f,
+				0x72, 0x64, 0x53, 0x65,
+				0x57, 0x36, 0x0, 0x0,
+			},
+		},
+		rtcp.NewCNAMESourceDescription(testSSRCCNAME, "cname"), // to make it a valid compound packet
+		&rtcp.SenderReport{
+			SSRC:        testSSRCSenderReport2SR,
+			NTPTime:     0xda8bd1fcdddda05a,
+			RTPTime:     0xaaf4edd5,
+			PacketCount: 1,
+			OctetCount:  2,
+		},
+	}
+
+	done := make(chan struct{})
+	go func() {
+		readBuffer := make([]byte, 200)
+
+		senderReport := &rtcp.SenderReport{}
+		n, _, rerr := bReadStreamSR1SR.ReadRTCP(readBuffer)
+		assert.NoError(t, rerr)
+		rerr = senderReport.Unmarshal(readBuffer[:n])
+		assert.NoError(t, rerr)
+		assert.Equal(t, uint32(0x902f9e2e), senderReport.SSRC)
+		assert.Len(t, senderReport.Reports, 1)
+		assert.Equal(t, uint32(0xbc5e9a40), senderReport.Reports[0].SSRC)
+		assert.Len(t, senderReport.DestinationSSRC(), 2)
+		assert.ElementsMatch(t, []uint32{0x902f9e2e, 0xbc5e9a40}, senderReport.DestinationSSRC())
+
+		// should read via receiver report embedded in sender report
+		senderReport = &rtcp.SenderReport{}
+		n, _, rerr = bReadStreamSR1RR.ReadRTCP(readBuffer)
+		assert.NoError(t, rerr)
+		rerr = senderReport.Unmarshal(readBuffer[:n])
+		assert.NoError(t, rerr)
+		assert.Equal(t, uint32(0x902f9e2e), senderReport.SSRC)
+		assert.Len(t, senderReport.Reports, 1)
+		assert.Equal(t, uint32(0xbc5e9a40), senderReport.Reports[0].SSRC)
+		assert.Len(t, senderReport.DestinationSSRC(), 2)
+		assert.ElementsMatch(t, []uint32{0x902f9e2e, 0xbc5e9a40}, senderReport.DestinationSSRC())
+
+		cname := &rtcp.SourceDescription{}
+		n, _, rerr = bReadStreamCNAME.ReadRTCP(readBuffer)
+		assert.NoError(t, rerr)
+		rerr = cname.Unmarshal(readBuffer[:n])
+		assert.NoError(t, rerr)
+		assert.Len(t, cname.DestinationSSRC(), 1)
+		assert.Equal(t, uint32(1234), cname.DestinationSSRC()[0])
+
+		senderReport = &rtcp.SenderReport{}
+		n, _, rerr = bReadStreamSR2SR.ReadRTCP(readBuffer)
+		assert.NoError(t, rerr)
+		rerr = senderReport.Unmarshal(readBuffer[:n])
+		assert.NoError(t, rerr)
+		assert.Equal(t, uint32(0x12345678), senderReport.SSRC)
+		assert.Len(t, senderReport.Reports, 0)
+		assert.Len(t, senderReport.DestinationSSRC(), 1)
+		assert.ElementsMatch(t, []uint32{0x12345678}, senderReport.DestinationSSRC())
+
+		close(done)
+	}()
+
+	encrypted, err := encryptSRTCP(aSession.session.localContext, cp)
+	assert.NoError(t, err)
+	_, err = aSession.session.nextConn.Write(encrypted)
+	assert.NoError(t, err)
+
+	<-done
+
+	assert.NoError(t, aSession.Close())
+	assert.NoError(t, bSession.Close())
+	assert.NoError(t, bReadStreamSR1SR.Close())
+	assert.NoError(t, bReadStreamSR1RR.Close())
+	assert.NoError(t, bReadStreamCNAME.Close())
+	assert.NoError(t, bReadStreamSR2SR.Close())
+}
+
 // nolint: dupl
 func TestSessionSRTCPAcceptStreamTimeout(t *testing.T) {
 	lim := test.TimeOut(time.Second * 5)