Rebrov went to White Hart Lane after joining Spurs from Dynamo Kiev four years ago for a club record £11m.
He started to really make a name for himself around the 1995/1996 season with Dinamo Kiev, making 31 league appearances and scoring 9 goals.
He and Andrei Shevchenko formed one of the most feared strike partnerships in Europe.
In the next three seasons, he went on to score 30 in 20 games, 22 in 29 matches, and 9 in 22 before moving to Tottenham for £11m under George Graham in the 2000/2001 campaign.
Glenn Hoddle, upon taking over, sent him to Fenerbahce on loan - where he spent over a year - with Rebrov accusing Hoddle of 'being prejudiced' against him.
He returned in the summer and has spent a few days training at West Ham alongside former Spurs team mate Teddy Sheringham, who admires his skills.
He is still, technically, a Spurs player.
Speaking in Sweden before returning home from a mini-tour there, Alan says:
"There might be another signing when we get back; that is what we are hoping so we go forward."
Regarding Rebrov, he adds:
"Basically, he is a player that wants to have a chance at West Ham, he has a feel for the club, and certainly with his record and his history we have to give him that chance.
"It would be silly not to, so we are just having a look and taking it day by day."