Bogu,
I assume that the two vessels are horizontal, cylindrical vessels and that the two sets of saddles are aligned in conincident vertical planes.
You have a difficult problem on your hands!
The gravity loads from the upper vessel will try to "crush" the lower vessel. It's unlikely that designer of the lower vessel ever anticipated the loading configuration now proposed. I anticipate that you will find that the lower vessel to be structurally inadequate for the proposed loading.
I'm not aware off-hand of any classical solution on which you could base your calcualtions (I'm away from the office and my trusty copy of Roarks!).
If you don't have FEM/FEA capability in-house, I recommend that you out-source it to a suitably experienced Engineer with that capability.
Alternatively, is there sufficent space for an indpendent structure to support the upper vessel and take the loads to ground (or the deck as the case may be).