Beckham twisted his ankle during the final minutes of AC Milan's match against Chievo in Serie A.
The injury of the former England captain overshadowed AC Milan 1-0 win against Chievo as the injury implies that Beckham would remain out of action for 5 to 6 months.
"David's injury is bad for us," said Milan coach Leonardo, who refused to officially confirm the nature of the problem although Sky Sports Italia claimed it was a season-ending Achilles rupture.
"This was an important victory tonight, but this injury prevents us from really enjoying it. It's an important injury and we need to be able to judge how serious it is."
"This injury has been a heavy blow for him and for us. Unfortunately the party is ruined."
"David realised straightaway what had happened. He understood that it was a serious problem and he said so immediately. It's such a great shame," Leonard said.
Beckham, who limped off the field was stretched away in pain and in tears.