The Real Madrid midfielder is believed to have tried to contact Eriksson last night to apologise.
World Cup winner Sir Geoff Hurst has accused Beckham of "bringing the country into disrepute" and believes that if it had happened when he was playing Beckham would have been sacked as captain.
FIFA President Sepp Blatter said he was "disappointed" by Beckham's admissions but confirmed the sport's world governing body could only take action if an official complaint was made, which is unlikely.
But officials said the FIFA boss was planning to bring the issue up with FA chairman Geoff Thompson at a reception in Baku last night.
Speaking from his home in Norway, Hauge, 38, said he had been pleased with the way the England and Wales players had behaved in the match.
He said: "It was very good atmosphere. There were two teams who wanted to play football and had the correct focus.
"I was looking forward to a harder match but both teams played fair. The relationship I had with the players on the pitch was excellent. I had a good feeling after the match." Meanwhile, Jermaine Jenas has emerged as the surprise contender to take Beckham's place on the right side of England's midfield this evening.
Eriksson used him in Beckham's position in training last night instead of Shaun Wright-Phillips and is now expected to persist with the three-man strike force of Wayne Rooney, Jermain Defoe and Michael Owen, which was so effective in the 2-0 win over Wales.
Team (probable): Robinson, A Cole, Ferdinand, Campbell, G Neville, Lampard, Butt, Jenas or Wright-Phillips, Rooney, Owen, Defoe.
