Both Tuqiri's former club, the Broncos, and Parramatta, denied they were in the hunt despite reports suggesting interest.
Broncos chief executive Bruno Cullen said the club's salary cap was used up for the next two seasons, regardless if fullback Karmichael Hunt heads overseas to play rugby at the end of 2009.
"Anything we're able to offer Lote would be an insult," said Cullen.
Eels football manager Andrew Hill said despite Tuqiri's appeal, they were not in a position to make a reasonable offer.
It seems unlikely any club would be able to snap Tuqiri up for the remainder of this season with the NRL having a strict June 30 deadline for the registration of players.