Lily Allen and Jonah Freud pack on the PDA as they go shopping with Austin Butler in Paris

Lily Allen and Jonah Freud packed on the PDA as they went shopping with Austin Butler in Paris on Wednesday.

The singer, 40, has been getting close to Jonah, 28, who is the son of entrepreneur Matthew Freud and ex-wife Caroline Hutton and the nephew of celebrated late artist Lucian Freud, since last year after her marriage to David Harbour, 50, broke down.

The couple and the Hollywood actor stopped by Mary-Kate and Ashley Olsen's luxury fashion store The Row while in the French capital.

Jonah put his arm around Lily and held her close during the outing where she wrapped up in a black coat. 

The singer also wore the orange and black polka dot top, tucked into a dark green skirt which had worn to the Valentino show that day.

Joining them was Elvis star Austin who cut a casual figure in a white T-shirt with light blue jeans and brown shoes. 

Lily and Jonah are in Paris for Fashion Week and were spotted leaving an event together on Tuesday. 

The couple have been spotted on multiple dates and recently took things to the next level by jetting to Italy together - reportedly staying in a suite at the Hotel Locarno, thought to cost around £800 per night.  

She was seen on a coffee date with the writer outside the Sant' Eustachio Caffè in Rome.

Spotting the pair in Rome, a source told The Sun: 'We walked past her and it was my daughter-in-law who recognised her and went, "Oh my God, it's Lily Allen."

'We did a double take, and it was definitely her, she was with Jonah Freud. They were just having a coffee and a cigarette together.'

After weeks of speculation that she is in a relationship with Jonah, the pair were spotted kissing at her celeb-packed Christmas party at London's Stringfellow's in December.

She and Jonah had their arms around each other in several photos before they were pictured sharing a kiss in front of the rest of the guests, in snaps acquired by TMZ. 

Meanwhile the month before, Lily was spotted enjoying a cosy-looking dinner date with him in a west London restaurant.

The pair were also pictured together back in September at an Oasis party held at the Chiltern Firehouse. 

Lily, who has become somewhat of a muse for Chanel in recent years, is one of many stars who have arrived for Fashion Week.

Of her relationship with the brand, she said: 'My relationship with Chanel started, I guess, 20 years ago – right when I started putting music out. When I got my pay cheques, I went out and bought myself Chanel bags.'

'These paparazzi picture of me would show up on the press desk at Chanel and legend has it that Karl Lagerfeld would be like, "Why are we sending this girl handbags?" 

'And they were like, "We're not. She's buying them." And so he thought that was cool and then asked me to get involved and invited me to shows.'