The Rays had dinner with top draft pick, right-hander Taylor Guerreri, on Tuesday night.
His father said Guerreri still faces a "very difficult" decision on whether to sign by Monday's deadline.
"We'll go forward and see where it all goes," Chris Guerreri told the St. Petersburg Times. "I wish I had a crystal ball and I knew."
Tampa Bay drafted the pitcher with the 24th pick in the June 6th First-Year Entry Draft.
Guerreri also has a scholarship offer from South Carolina and both are strong options.
Tampa Bay's Top Pick Undecided About Signing