The duo were caught on camera appearing to be be involved in a heated discussion as the Red Devils enjoyed a casual stroll after touching down in Australia.
And that animosity still looked present as Ole Gunnar Solskjaer drilled his players at the famous WACA cricket ground.
Pogba can be seen staring intently as Lingard as the United players stretched out ahead of their first training session since touching down in Australia.
The pair have both had eventful summers, with Lingard coming in for criticism after posting a distasteful video on Instagram.
Meanwhile, Pogba has been linked with a return to former club Juventus or a mega-money switch to Real Madrid after suggesting he is ready for a new challenge.
The World Cup winner enjoyed an extended holiday in the United States while the majority of the United squad returned to training last Monday.
Some reports suggested the club were concerned Pogba would not report back for the pre-season tour, although the discontented star did arrive at Carrington in time to catch Sunday’s flight.
The Frenchman raised eyebrows when he was the only player to not wear his club blazer at the airport upon departure from the UK, while he cut an aloof figure as United arrived at their Perth base.
And he caused headlines once again for the brief altercation with Lingard, caught on camera by the official Manchester United Twitter account, as Solskjaer took his team out for a casual stroll following their 16-hour flight.
Lingard appeared to say something to Pogba which caused the midfielder to take a step towards his team-mate before Victor Lindelof intervened and steered Pogba away from any potential confrontation.
Now more questions will be asked about Pogba’s frame of mind after the 26-year-old was spotted appearing to stare down the England international before training.
The unsettled star was then spotted doing kick-ups on his own as the rest of the squad chatted between drills, although Marcos Rojo was pictured with a big grin on his face as he tried to get involved.
Pogba was also seen standing at the back of the group as fitness coaches addressed the players, with Solskjaer focusing on his players’ endurance in pre-season.
ESPN has claimed that certain members of the squad are ‘concerned’ about the physical nature of the pre-season programme, with not enough focus on ball work.
Solskjaer is currently looking to whip his squad into shape after a dismal end to the 2018/19 campaign which saw United win just two of their final 13 matches.
Speaking after the 4-0 defeat to Everton in April, the Norwegian said: “Of course, we know our fitness is nowhere near good enough.
“I’ve said it before, I can’t wait to get a pre-season done. We’ve been fantastic to get where we are, and maybe that’s got the eye off, because we’ve been chasing results and suddenly we are close to this top four.
“We never envisaged that we would be so close when we came in. Maybe it’s caught up with us.
“We all know to win games of football, as I refer to many times… basics, and fitness has nothing to do with talent.”
United are set to spend the next 10 days in Perth, facing local side Perth Glory on July 13 then taking on Leeds United four days later before heading on to Singapore.