Milan chief executive Adriano Galliani has dismissed Galaxy's stance as a "tactic", while the Serie A club's coach Carlo Ancelotti thinks a move is still possible.
Beckham joined Milan on loan in an attempt to revive his international career after England head coach Fabio Capello said he needed to be playing more competitive football.
The England international, who equalled Bobby Moore's England record of 108 caps for an outfield player in last week's 2-0 defeat by Spain in Seville, has become a regular for Milan since his arrival in January.
However, with England set for nine internationals from the end of March until October, including six qualifiers for the 2010 World Cup, a return to the MLS could see Beckham left out of the national squad.
Milan, who have had a £5m bid for the 33-year-old rejected, have so far failed to meet the Galaxy's valuation, which is reportedly in excess of £10m.
The former Manchester United and Real Madrid star has settled in quickly at the San Siro, impressing both Ancelotti, his team-mates and rival managers with his professionalism and work ethic.
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