correctly setting terminal in SunOS for vim

I am trying to use vim in a computer sunos computer
uname -a:
SunOS cmc01 5.10 Generic_142910-17 i86pc i386 i86pc

At this point I was able to compile ncurses, screen and vim.
I can only login to the machine from the work laptop.

If ssh into the machine and use vim with the vim setting t_Co=256 then the colors
are good.

If when on the machine I start screen then after starting vim I cannot see anything. If unset t_Co in my .vimrc then I can see but with no colors.
I also set the variable
export TERMINFO=~/scratch/packages2/lib/terminfo
(I have the packages installed under scratch/packages2/).

I understand that this is not a vim problem since as I mentioned I can use nice colors if I am not inside screen, but I really like to use it with conjunction with screen.
If someone has any ideas on how to fix that please let me know.

Regards,
Jorge

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