White To Play And Draw (Possibly)

WAS on the back foot for most of the game today in round four of the Olomouc seniors.
But as the time control approached, I managed to gradually improve my position, while still being under pressure.

White to make his 36th move in Spanton (1881) - Ladislav Galvanek (1971)

*****
*****
*****
*****
*****
*****
36.Ne2?
This allows a winning combination.
Correct was the more-or-less forcing line 36.Rxd6 Qxd6 37.Ne2 Qd3 38.Qxd3 Rxd3 39.Nxf4 exf4 40.Ne5 Rxb3 41.Nxc6 bxc6 42.Rxf4, when material is level, but Black has a dangerous farside passed pawn. The analysis engines Komodo9 and Stcokfish10 reckon Black is at least half-a-pawn better, but there is a lot of play left in the position.
36...Bxe4! 37.Qxe4 Rxd1 38.Rxd1 Rxd1+ 39.Nfg1 Qc5 40.b4 Qe3 0-1