Jike, Thanks for your views.
Well, here's what I did. The portion of the foundation on existing foundation is anchored. The peripherial portion of the new fdn is connected to the existing fdn by driving anchor bars. So, I defined those support points as fixed in my model and all the other interior supports as pinned. I defined spring support for that portion of the foundation on soil. I could notice that the pressure experienced by soil was very low which meant that the foundation behaved as a cantilever. I adequately provided reinforcement for the maximum bending cantlever moment. Assuming that there may not be cent percent fixity, I reinforced the bottom portion of the slab too with the same reinforcement.
I believe this was the best approach I could utilize, but would certainly like to know your views for this case.
Appreciate further discussions.