Sources told upstream that drilling giants Transocean and Ensco submitted bids in July, following a tender earlier this year.
Some sources suggested that international drilling contractor Seadrill is also believed to have submitted a bid.
However, sources tipped Transocean as the frontrunner, as it currently has two drillships working with Reliance and is on good terms with the operator.
“Reliance and Transocean share an excellent working relationship.