Good question! It's been 4 months since I last had it but it was here on itch.io last time I checked. Basically, it's a deer in the forest type of game with no dialogue but has multiplayer capabilities. The deers horns/symbols change based upon what action the user takes and there's emotes. I remember it having some form of  vague puzzle-like element to it, but the entire game takes place upon a one map area so far.

The  visual difference between this one and that is that NIVA has a zelda-like cartoon graphic about it, where the other-game looked more of an UNREAL engine.  Haven't played the NIVA yet, so as far as its interactions are concerned not sure of., but both take place in a forest and stars a deer.

I think you are thinking of the non-violent magical deer forum art game "The Endless Forest", by Tale of Tales (prototype 2003, main release 2005-2009). https://en.wikipedia.org/wiki/The_Endless_Forest

It has a rerelease called "Second Decade": https://taleoftales.itch.io/the-endless-forest

Not to be confused with Deer God, a 2D platformer in a voxel style.