Ben White has resumed training with Arsenal following his early departure from England's World Cup camp in Qatar.
The 25-year-old returned home on November 30 "for personal reasons" without playing a single minute in any of England's three group matches.
Widespread reports suggested White's premature exit from England's Al Wakrah headquarters came after a falling out with assistant manager Steve Holland.
Commenting on those rumours earlier this week, Southgate said: "The article written used words like 'alleged', so whoever wrote it didn't feel strongly enough it was correct.
"Ben left for personal reasons. We made that very clear and I think especially in this day and age it is very important that a situation like that is respected."
England went on to beat Senegal 3-0 in the last 16 but were eliminated by France at the quarter-final stage on Saturday with a 2-1 defeat.
A day on from the Three Lions' tournament exit, White took part in a training session with Arsenal at their warm-weather camp in Dubai.
White has started all 14 Premier League games this season for leaders Arsenal, who resume their campaign against West Ham on Boxing Day.
Ghana midfielder Thomas Partey and United States goalkeeper Matt Turner also resumed training with Mikel Arteta's side on Sunday following their own World Cup exits.
Arsenal have friendlies with Serie A sides Milan and Juventus to come before facing London rivals West Ham.
Recruitment crucial if Slot gets Liverpool job, warns Brands
Arne Slot must only settle for the best in the transfer market if he succeeds Jurgen Klopp as Liverpool manager at the end of the season.
That is the view of PSV president Marcel Brands, who has warned Slot against taking several Eredivisie players with him in comments which might be interpreted as a dig at Manchester United boss Erik ten Hag.
Liverpool are reportedly close to reaching an agreement with Feyenoord to appoint Slot, who led the Rotterdam giants to just their second league title this century in 2022-23.
Should Slot get the job, he will be taking over at what could be a time of great upheaval at Anfield.
Star forward Mohamed Salah could follow Klopp through the exit door as he enters the final 12 months of his contract, with renewed interest from the Saudi Pro League likely.
The Egyptian was involved in a public spat with Klopp during Saturday's 2-2 draw with West Ham and has only scored three Premier League goals since going to the Africa Cup of Nations in January.
Asked how Slot should approach taking over during a time of transition, Brands told Goedemorgen Eredivisie: "Don't focus blindly on signing five Dutch players.
"He has to look very carefully at what he needs with his style of football, and only settle for top players."
Brands' comments come as Slot's fellow Dutchman Ten Hag continues to attract fierce criticism amid an underwhelming second campaign at Old Trafford, with Eredivisie recruits Antony, Tyrell Malacia and Lisandro Martinez having limited impacts this term.
Brands has warned Slot the pressure awaiting him at Anfield will match that Ten Hag has faced at United, saying: "Slot will be working at one of the biggest clubs in England.
"You have to realise that. Liverpool have supporters from all over the world, and the pressure is always there.
"Just like Manchester United, they really are the biggest clubs in England, but it is a fantastic challenge."
Al-Khaleej 0-1 Al-Nassr: Ronaldo misfires on return as Laporte nets winner
Cristiano Ronaldo returned from suspension but failed to find the net as Al-Nassr secured a 1-0 win over Al-Khaleej on Saturday, with Aymeric Laporte coming up with the decisive goal.
Ronaldo was in action for the first time since being sent off for an elbow in a 2-1 Saudi Super Cup loss to Al-Hilal earlier this month, with his initial two-match ban being reduced to one on appeal.
He missed three good chances as Al-Nassr threatened to fall further behind runaway Saudi Pro League leaders Al-Hilal, but former Manchester City defender Laporte spared his blushes by nodding Marcelo Brozovic's deep free-kick into the bottom-left corner with 68 minutes gone.
Al-Nassr remain nine points adrift of Al-Hilal at the summit in spite of their win, with Jorge Jesus' team unbeaten through 28 games this season as they close in on a record-extending 18th title.
Data Debrief: Ronaldo misfires on return
Ronaldo was presented with the Saudi Pro League's Player of the Month award for March ahead of kick-off, having scored four goals in three league appearances last month.
However, his sights were off on Saturday as he failed to net despite three of the visitors' four big chances, as defined by Opta, falling his way. He led all players on the pitch for expected goals (1.27 xG), shots (five), shots on target (three) and touches in the area (nine) without reward.
Huddersfield all but relegated from Championship while League Two play-off spots decided
Huddersfield Town saw their relegation from the Championship all but confirmed after a 1-1 draw with fellow strugglers Birmingham City on Saturday.
The Terriers avoided a defeat that would have seen them relegated on Saturday, but even a win on the final day over promotion hopefuls Ipswich Town will not be enough unless they overcome a huge goal difference of 15 goals with Plymouth Argyle.
Birmingham remain in the other relegation place and now must beat Norwich City to stand a chance of staying up with Sheffield Wednesday, Plymouth and Blackburn Rovers also still in danger.
At the other end of the table, the Canaries dropped points in a 2-2 draw with Swansea City, leaving the door open for Hull City, who face Ipswich Town later today.
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