The Titans are the latest suitor to join the chase for the in-demand forward, taking the place of their Queensland rivals in the Broncos.
Despite Finucane potentially looking for a return to his home state past 2021, the three clubs north of the Tweed look to be the most active in the pursuit.
The Broncos have since pulled out of the race, with Gold Coast joining and the Cowboys reportedly offering a three-year, $1.8 million deal.
Speaking on NRL 360, Yvonne Sampson relayed The Courier Mail's report.
“Dale Finucane is a much loved character of the Melbourne Storm we know he is available and he is spoiled for choice as Peter Badel from the Courier Mail has just reported that six clubs are interested and you can understand why,” Sampson said.
“The Cowboys are the latest one to table a three-year $600,000 a season deal.”
It is understood that the Sharks, Dragons and Titans have also tabled deals to the 29-year-old that place them in a similar vicinity to North Queensland.
The Knights have tabled a two-year deal of their own, an offer the club isn't looking to budge on.
While rival clubs give persistent chase, the Storm remain in the mix to retain their gun forward.