Chloe Green looked glum on Friday as she was pictured for the first time in public since a tearful bust-up with fiancé Jeremy Meeks in Dubai and sparking split rumours by not wearing her engagement ring. The Topshop heiress, 27, hid her engagement ring finger as took a morning stroll near to her luxury beachside apartment in Monte Carlo but seemed a little out of sorts. Wearing a long-sleeve blue denim jacket with grey leggings and black trainers she was spotted heading back to the exclusive Le Rocabella building. Low key: Chloe Green looked glum on Friday as she was pictured for the first time in public since a tearful bust-up with fiancé Jeremy Meeks in Dubai and sparking split rumours by not wearing her engagement ring When asked if she wanted to comment about the row or pass on a message to Meeks, Chloe said simply: ‘No thank you.’ Sources close to the couple say their 18-month relationship was under strain after they had a row in Dubai. They are understood to have had a public spat on February 19 at the Cavalli Club in Dubai where Meeks stormed out of the venue, leaving Ms Green on her own. The daughter of billionaire Sir Philip Green jetted home to Monaco and has since posted two pictures onto her Instagram account showing her without her engagement ring. Her shaven- headed ex-con beau, meanwhile, has flown back to his native California and has recently been spotted partying in LA. The model, 35, was photographed shopping at XIV Karats in Beverly Hills on Wednesday with his half-sister Carmella Jesus. When he was asked about the status of his relationship he replied: 'Of course we're still together.’ However, speaking to MailOnline, a source close to the pair said: ‘She is on her own in Monaco while he is living it up in LA. ‘These ups and downs are part of every relationship but they are usually settled, particularly when one of the parties is worth so much money. I expect them to sort it out.’ A party-goer at the launch of streetwear clothes label EXTREMEDY in Dubai, where Meeks was modelling, said the couple – who were sitting at a table with Bella Hadid’s property developer father Mohammed – smiled for the cameras but appeared to be tense in each other’s company as the night wore on. ‘Jeremy was in his element,’ they said. ‘The real life and soul of the party and socialising with the other guests. Chloe was barely noticeable and in his shadows most of the night. ‘They were all smiles posing for the pictures for the photographers but things turned sour later in the night. ‘They were spotted having a heated exchanged and Jeremy walked out of the club without Chloe. ‘You couldn’t hear what they were saying but it was obvious they were having a row from their body language. Chloe tried to shrug it off but you could see she was upset and she left with a friend shortly after. ‘She had her engagement ring on in Dubai and now it’s clearly missing from her Instagram shots. In one photo she is displaying both of her hands in a clear message to him that their relationship is in trouble.’ Socialite Chloe, who has a ten-month-old baby son Jayden with Meeks, is keeping a low profile at her £7 million penthouse apartment. Meeks jetted to the US where he was turned away from Beyonce and Jay-Z's Oscar after-party at the Chateau Marmont in Los Angeles on Sunday because he wasn’t on the guest list. ‘They are spending some time apart to think things through,’ said the source. ‘Chloe was very upset and hurt by what happened in Dubai and is trying to work out what she wants. Meeks is an American model and former gang member who found fame thanks to a flattering mugshot picture, which saw him nicknamed 'the hot felon'. The former gang member received a 27-month jail term in 2015 after being charged with illegally possessing firearms and ammunition, carrying a loaded firearm in public and criminal street gang activity. He was released from prison in 2016 saying that he had 'found God', before quickly securing a six-figure modelling job. His wife Melissa claimed to have been blindsided when pictures emerged of him kissing Miss Green on a yacht in Turkey in June 2017. Since then he and Chloe have been inseparable jet-setting all over the world and spending time on her father’s £115 million mega-yacht Lionheart in Monaco. Meanwhile her mother Tina, and retail tycoon Sir Philip, 66, worth an estimated £5 billion, have reportedly been busy planning their daughter’s wedding. Still on! 'Hot Felon' Jeremy Meeks revealed Wednesday in Beverly Hills he's still with Topshop heiress Chloe Green, after news of their recent tearful bust up in Dubai emerged Keeping it casual: Jeremy was clad in a black sweatshirt, sweatpants, and coordinating sneakers for the outing Good company: In spite of the recent apparent drama, the model appeared in good spirits as he enjoyed some quality family time with his sister Soaking up the sun: The couple shared a cuddle as they enjoyed a day in the sunshine Oh no! Sources have also pointed out that Chloe, daughter of billionaire Sir Philip Green, has posed in two pictures on Instagram without her rumoured engagement ring in a pointed message to the ex-con that their 18-month relationship is strained Meeks has since jetted to the US where he was turned away from Beyonce and Jay-Z's Oscar after-party at the Chateau Marmont in Los Angeles on Sunday because he wasn't on the guest list. 'They are spending some time apart to think things through,' said the source. 'Chloe was very upset and hurt by what happened in Dubai and is trying to work out what she wants. However, another source has told MailOnline that 'there hasn't been a bust-up. Jeremy is in LA, Chloe's in Monaco and they are fine. The source also added: 'They aren't engaged and they never have been. There are no plans to get married.' Glam: The heiress was dripping in lavish jewelry as she posed with her beau All rights reserved for this news site dailymail and under his responsibility