Soonsup-Bell left Spurs a year ago for Segunda Division Cordoba, but has now returned to England to join League Two Grimsby.
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Now 21, the striker played for England from U15 to the U19s and also made his debut for Chelsea as a teenager.
Soonsup-Bell has now signed a 12-month deal with Grimsby with an option for another year.
"I'm really pleased that Jude has chosen to join the team. He's an exciting talent with a great pedigree and a player we have been watching for some time," Grimsby boss David Artell said.
"He will add great competition to our forward line this season and we are really excited to work with him."