The 20-year-old singer - who has previously romanced teen stars Taylor Swift, Camilla Belle and Demi Lovato - and the 'Twilight' actress were spotted yesterday morning (09.08.10) leaving her Los Angeles apartment to shop at the nearby Studio City mall and enjoy a coffee together.
A source said: "Joe and Ashley looked really relaxed in each other's company - though they made sure there was no physical contact and walked at a short distance from one another."
Despite recently being spotted enjoying an intimate dinner at The Ivy restaurant in London and attending a Kings Of Leon concert together, friends of Joe and 23-year-old Ashley insist there is nothing romantic going on between them.
A source told internet blogger Zack Taylor: "They are just friends and enjoy spending time together when they are in the same area.
"Ashley is actually helping Joe write some music for his upcoming solo album."
As well as meeting up in London - when Ashley was promoting 'The Twilight Saga: Eclipse' and Joe was supporting brother Nick, who was making his West End debut in 'Les Miserables' - the duo were also spotted having dinner together at The Alcove in California at the end of last month, with the singer seen getting the actress' bag from his car.