Thanks for the reply.
The first solution has solved the problem!! unfortunately we cannot make proxy_ssl_session_reuse off, as it may affect the performance. And the second option given by you is also cannot be done as the system team has some concern over it. The Openssl version we are using is the latest one supported by the CentOS version we are using.
Is it possible to configure/compile nginx without zlib support?
Again, is the gzip module creating problem here? We tried with gzip on and off but still it was giving the same problem.
Thanks again.