We are trying to connect to our server where its configuration requires the TLS1.1 protocol for connection. Debian 6 repos do not have direct backports for libssl1.0.0 and OpenSSL.
We need some guidance in updating libssl and compiling a newer OpenSSL version from source. I hope compiling and updating these libraries from source is possible.
As there isn't a provided backport of OpenSSL 1.x for Debian 6.0, if you're unable to upgrade to a newer Debian release the best option is to create your own backport. As has been suggested, installing from source is not recommended.
If you start with the source package for Debian 8.0 (jessie) it should be reasonably straightforward. This post on Stack Overflow has a nice summary of what's required to build from source and there's a guide to creating your own backport.
This should be fairly safe as your own OpenSSL package will have a new major number - just make sure you follow the suggestions in that aforementioned Debian guide or you will have problems when you upgrade.
