Sorry to jump in. Just want to help. Hangin' out down by the brickboard.com today, again.
Check the OBD? Though you have, as of 1996, OBD-II. So, you need a code scanner.
Do you have an OBD-II scanner for your 1996 Volvo 960 wagon, drzelmo?
https://www.brickboard.com/FAQ/700-900/EngineOBDCodes.htm#OBDIIScanners
OBD-II is a rather comprehensive diagnostic that indicates the thing that is failed or has failed, or leads you to the failing thing.
Though you can't start and drive the car, if you could, most auto parts stores, like the AutoZone will allow you to use there OBD-II code scan tool, if it fits.
Else, you can use a tool that connects between your 1996 Volvo 965 (960 wagon) and your (presumed) Windows laptop or other Windows computer. The adapter connects to the OBD port on your 1996 Volvo 965. The software, then, runs a code scan for all OBD-II enabled things like engine control, transmission, ABS, and such.
When was the timing belt on your 1996 Volvo 965 last replaced? Though quite serious if failing.
If such a fault, drzelmo, when the engine was last running, did you have any check engine lights on?
https://www.brickboard.com/RWD/volvo/1323435/940/960/980/V90/S90/1995_960_ports_codes.html

http://matthewsvolvosite.com/forums/viewtopic.php?t=25635
http://www.obdclearinghouse.com/documents/newdocuments/Volvo/OBD_check.PDF
Please try the search feature here on your mighty brickboard.com to find posts and threads that address similar no start condition for your year and model Volvo 965.
Volvo "Green" Factory Service Manuals for 960/90 Series:
http://www.k-jet.org/documents/greenbooks/900-series/
Volvo Wiring Diagrams for 960/90 Series (though, if manual set is complete, Green manual diagrams are comprehensive)
http://www.volvowiringdiagrams.com/?dir=volvo/960%20Wiring%20Diagrams
Hope that helps you folks.
Hanging Out Down by the Brickboard.com Duffed.
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Something, something, something, something ....
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