The Bulldogs were not the only team the 22-year old rejected, with North Queensland also getting knocked back.
Canterbury reportedly placed a Friday deadline on Ramien to make a decision so that they could prepare to shift their attention to pursuing Apisai Koroisau and Herman Ese’ese.
Three clubs remain in the mix to sign Ramien, however, they would need to offload players to make way for him.
This reportedly includes Cronulla, Parramatta and the Wests Tigers, while Melbourne could also be interested.
The Sharks are the frontrunner to acquire his services according to a report by Fox Sports after offering a four-year deal worth close to $2 million.