The 25-year-old France worldwide rejoined United from Juventus in August 2016 for a then world record £89m.
Manchester United have promised to review their security arrangements after a pitch invader was found to have brought two plastic toy guns into Old Trafford for last week's Champions League match against Juventus.
Manchester United said the safety of fans was an "absolute priority" for the club.
The report from South America says Juventus are open to the swap deal with Bayern if it means they can generate the funds needed to lure Pogba back to Serie A. "I'd spoken about it with my brother last summer". For me, it's a pleasure. "Turin is my home - that's where I scored my first professional goal".
"[Juan] Cuadrado, [Paolo] Dybala, [Leonardo] Bonucci".
The World Cup victor said he remains in touch with a number of former team-mates, and also spoke of the value of learning from midfielder Andrea Pirlo during his time in Italy.
Pogba said he kept in contact with many of his former team-mates, including compatriot Blaise Matuidi.
"We speak on a very regular basis as we had a really good group - we felt like a family".
"When you're alongside players like Pirlo, Gigi [Buffon] or [Giorgio] Chiellini, you can only learn. Even as an established player, you can always learn from those sorts of men".
Significantly, though, it's a reminder that if Man United do not begin challenging for trophies like the Champions League then players will leave, including Pogba.