Goal exclusively revealed on January 7 that Morrison had told Sam Allardyce he wanted to move to Craven Cottage, with the promise of a salary increase and the opportunity to reunite with former Manchester United coach Meulensteen particularly tempting.
Speaking after Fulham's 3-0 FA Cup third-round win over Norwich City on Tuesday night, Meulensteen told reporters: "Yes, we did [put in a bid for Morrison] but we got knocked back.
|11/10||Fulham are 11/10 with Betway to be relegated from the Premier League|
Asked if Morrison wants to join Fulham, Meulensteen stated: "Yes, because I have known Ravel for a long long time. The thing is we have to wait and see how the clubs and everything goes. We'll see what we get.
"The fee is not for me to discuss. I'll leave that to Alistair Mackintosh. I've made my desires clear and will leave them to it. We'll review it because I don't know the ins and outs of how it has been rejected."
The Dutchman has been promised money this January by new club owner Shahid Khan and has been linked with moves for Mohamed Diame, Joleon Lescott and Ryan Bertrand as they look to climb out of the Premier League mire.
Morrison has been in fine form for the Hammers this season, earning plaudits for his return of five goals in 18 games despite the club's difficult campaign thus far. His current contract at Upton Park is due to expire in the summer of 2015.