The 37-year-old recently reignited a long-running battle with the Oasis star after joking that Gallagher could "lick [his] arse" over Take That's eight-date run at Wembley Stadium as part of their 'Progress' tour.
Gallagher responded by poking fun at Williams's confession that he receives regular testosterone injections, saying: "I'd rather suck on his man boobs."
Gallagher previously referred to Williams as "the fat dancer from Take That" and declared his music to be "f**king dog s**t".
However, the 'Rock DJ' singer is now said to be seeking a reconciliation with his former friend after his marriage to Ayda Field last August sparked a "real change in his outlook".
A source told The Sun: "Since he stopped the prescription drugs and settled down with his wife Ayda, he's far more placid.
"He decided it was time, now they are both married men, to draw a line under the whole charade. He was telling a few of the guys backstage how he sent an email to Noel, via his people, about how much he respected him and admired his career."
Williams confirmed on Thursday that he plans to embark upon a solo tour after performing with Take That.