Pratik,
Try to verify if there is any property set in the Workstation side, that is not set in the VSE.
Example: https.protocols
To get more information regarding the SSL handshake, you can add the property below in the vmoptions file for the VSE:
-Djavax.net.debug=ssl
The VSE process will need to be restarted.
That will generate SSL debug information in the VSE log files.
Hope it helps.
Heloisa