We agreed on a draw in this position, because we couldn't see any interesting ways to continue the game:

Looks like an inevitable,but,distant and tedious checkmate for white.

2. Ne5 Bf6, 3. Nxf3 Bxa1 4. Bb2 and white should win.

edited

Looks like white should think more carefully before moving

White shoud give up his pawn to activate his rook ! and he will be winning .

 I'm confused now...

What could black do?

Thank his Fairy Godmother that he got away with a draw.

If you had attempted to play "2. Ne5 Bf6, 3. Nxf3 Bxa1 4. Bb2"
2. Ne5 Re7 3. Nxf3 Rxe2...check

4. Kd3, and you lose the bishop

No,i was just about to edit...your right that it's still a win for white. But the issue is black here...my bad