OpenSSL error, when wget initiated from Solaris server

It means, I should upgrade wget, probably to wget version 1.14 ?
Do you have any pointer, where I can get wget package for Solaris 10 ?
I can find opencsw, but our servers are not open to internet to get directly from there. I am looking for downloadable package.

Yes I think you must upgrade. (If it works with Linux.)
I found
https://www.opencsw.org/packages/
and, as it is standard in the Linux world, most if not all libraries (here in /usr/local/lib/) must be upgraded as well.
Hopefully you know how to do this with least effort.
I remember the patch tools pkgutil and pca

When I run "wget --help", it doesn't show me TLS 1.2

HTTPS (SSL/TLS) options:
       --secure-protocol=PR     choose secure protocol, one of auto, SSLv2,
                                SSLv3, and TLSv1.

It looks like this is the reason, as this version of wget won't support TLS 1.2 ?