This study aims at designing precoding in multiple satellite multibeam systems with overlapping coverage areas where the multiple satellites have the same footprints and overlap in their coverage. Besides, high throughput full frequency reuse pattern among satellites is used. In such an architecture, the key objective lies in the collaboration between satellites and obtains: i) reliable multibeam infrastructure to serve unforeseen changes in the traffic demand through establishing supportive secondary satellites, ii) multiple satellites can provide service to higher spatial diversity by keeping the size of the payload affordable, iii) employing multiple satellites provides hardware redundancy to guarantee uninterrupted service delivery. However, intra-satellite and inter-satellite interference are the bottleneck of the whole network and employing interference mitigation techniques, particularly precoding techniques, is essential. In this paper, we analytically and numerically study designing precoding technique that: a) properly mitigates intra-satellite and inter-satellite interference, b) since the performance of precoding is sensitive to the quality of Channel State Information (CSI), proper low complex CSI exchange mechanism among the satellites is developed.