This also happened to me because my Weblogic 10.3.6 was on JDK 1.7.0_75 which was on TLSv1. This points out that TLSv1 was being used for the handshake.
-Djavax.net.debug=ssl:handshake:verbose:keymanager:trustmanager -Djava.security.debug=access:stack
To solve this just push the feature out to our JDK8-compatible product, JDK8 defaults to TLSv1.2. For those restricted to JDK7.
I hope this helps you.