When I tried to recall it said I didn't have any pets to recall. I made a copy of my save to do an experiment and I killed my pet (which was strangely emotionally difficult) and then sat in place for 20 days and they never reincarnated.

I went back to my original save and for now I'm just going to leave my pet at my base until I know that I can both recall and resurrect them. Any ideas on what I should do though?