But the 37-year-old will not be joining one of London's many football clubs: instead, he is set to use the city as a base while playing for Paris St Germain, just a short Eurostar ride away.
The paper reports that David and Victoria Beckham have chosen a school in London for their children, citing a source close to the family saying that the Beckhams' families are "delighted" that the famous couple are moving back to Britain.
Apparently the Mirror knows the school chosen, but says that, "we are not naming it so pupils are not distracted by fans hoping to catch a glimpse of the superstars on the school run." That sort of comment usually means you're safe to infer that the whole thing is made up, but considering that the Mirror has splashed the story all over its front page it seems likely that there is some truth in it.
The Mirror's source claims that "a move to Paris would be ideal" for Beckham, suggesting that a long-rumoured £200,000-a-week contract with Qatari-backed Paris St Germain is in the offing.
But there is said to be no doubt that he is heading home. "Wherever he ends up playing football, the family's base will remain in London," the story reports, adding that Beckham will announce his new club at the end of the January transfer window.
The Sun reports that Cristiano Ronaldo could be on his way back to Manchester United for as little as £60 million, despite the Portuguese star's £122m buy-out clause.
"If Ronaldo genuinely wants to leave, then Real’s asking price will tumble," the paper reports, claiming that the fee would be workable as United would be able to use Nani and David de Gea as makeweights.
Several papers - and also this website - run big stories about Chelsea's reported talks with Demba Ba over a January move from Newcastle. The striker - who has hit 13 goals this season - can be snapped up for just £7.5m due to a clause in his contract, and the Blues look set to sign him up within days. Interestingly, the Mail reports that Ba will be due a £2 million loyalty bonus from the Magpies even if he decides to leave!
The Daily Mirror reports that Manchester United will launch an £8m bid to sign Crystal Palace winger Wilfried Zaha this week. But with Arsenal and Tottenham also very keen it seems unlikely that the much-lauded Best Player Outside the Premier League would leave for so little, particularly given that Palace are still in the mix for promotion which would be worth literally ten times that amount.
Chelsea will not land Atletico Madrid's Colombian striker Radamel Falcao in January, the Sun writes, with the player insisting he will not jump ship half-way through the season.
QPR will hand Harry Redknapp £20m to spend in January to help stave off relegation, according to the Daily Mail, with Rennes' Yann M'Vila, Marseille's Loic Remy and West Ham's Mohamed Diame on the shopping list.
And finally, we couldn't help but chuckle at Alan Shearer's column in The Sun saying that Arsenal must "simply forget about being a major force for years to come" if they fail to offer Theo Walcott a new contract.
Shearer has spent years claiming that Walcott should be a key man for Arsenal and England, but with the Gunners heading towards eight years without a trophy (and the national team closing fast on half a century) it's almost laughable to suggest that such a talented but inconsistent player could make the difference one way or the other. Classic knee-jerk punditry at its worst.