The forward, who was on trial with the club in the summer, had to return to his native France to complete a lengthy ban for an indicent involving a referee.
Moore had originally seemed content to wait for Bengelloun to complete his ban, telling the Greenock Telegraph's Chris Tait: "He's got some sort of suspension he has to serve. We've been going back and forward for the past couple of weeks and we're struggling to get any information on how long it's going to be and what the situation is.
"It's not a big deal as he's not signed yet anyway, so if it becomes a problem we'll simply send him back to France until the suspension is finished. We're just trying to get to the bottom of it and find out what we need to do to help the boy.
"He's still coming in to train with us. We've got him set up in digs with wee Fred [Bachirou] and he's quite happy. We'll get it sorted eventually and his agent has got him a car so he and Fred can get up to training."
However, the suspension saga has dragged on with no end in sight, prompting a change of heart for Moore, who confirmed that Bengelloun would not be signing in a more recent interview with Tait.
An online link to that particular article doesn't appear to be available, but Russell Steele's Partick Thistle preview confirms that Bengelloun will not be coming back to Cappielow. "In terms of movement in the opposite direction," wrote Steele, "Allan Moore this week revealed that Tarik Bengelloun would not be returning to Greenock, bringing to an end a somewhat farcical signing saga which has rumbled on since the summer."
The 19-year-old former Nantes and Nottingham Forest wide-man made three substitute appearances as a trialist in pre-season friendlies against Blyth Spartans, Gateshead and Bristol Rovers (pictured).