Three possibilities spring to mind:
1- You just need to pry them apart a bit more firmly, using constant pressure, so that you force some fluid back into the reservoir. Right now the pistons are probably out too far and just need to be pushed back. Use something which won't take chunks out of the pad material like a thin paint scraper shoved all the way between the pads to pry with.
2- One or both pads is not seated correctly. They may only be shoved in most of the way and are riding on top of the knob in the middle of the pistons and so are not fully seated agains the pistons. Make sure the pads are shoved up fully into the caliper.
3- There is too much fluid in the system and the reservoir cannot accept any more, so you simply cannot shove the pistons in completely. This seems a bit unlikely, but possible. That would require a bleed I think.