The 48-year-old took to Facebook on Sunday to share a photograph with Jones, who has worked for musicians like Frank Sinatra and Michael Jackson.
"With legendary producer Quincy Jones after the LA concert," Rahman captioned the image.
Earlier on June 17, Rahman, who shares a massive 21 million followers on Facebook, wrote about his experience of the tour.
"It feels good to be heading back to India for Ramadan after performing in North America for a month. Infinite love to all the fans and the team who made the Intimate concert tour a roaring success. My band members and I had an awesome time," he wrote.