The 37-year-old midfielder is seeking a final challenge in his illustrious career and has been linked with sides in France, Australia and Asia.
A "host of clubs" have come in with offers for Beckham, according to a statement by his management company issued to The Associated Press on Thursday, but it remains "early days in the process."
"David is in no hurry to make a decision, the key is making the right one as he has always done successfully in his career," the statement said.
Beckham, one of the most famous sportsmen in the world, ended his five-year stint in the United States by helping the Galaxy win the MLS Cup on Dec. 1.
He has said a return to the English Premier League, where he starred for Manchester United between 1993-2003, is unlikely. Beckham is also reported to have ruled out a move to Australia's A-League.
French sports daily L'Equipe reported Thursday that Monaco, an ambitious French second-division club, has ended talks with Beckham, although his advisers have refused to comment.
"David is enjoying spending quality time with his family over the holidays," his management company said.
Beckham has also played for Real Madrid in Spain and AC Milan on loan in Italy.