Downcast Lindy Klim steps out ring-free in Melbourne in her first sighting since her split from her second husband and swift move back to Australia

Lindy Klim looked downcast as she was spotted for the first time since her split from her second husband and her relocation back to Australia.

The Balinese princess, 45, and her British property developer husband Adam Ellis have gone their separate ways after six years of marriage, according to insiders.

Speculation of a break-up first began to swirl earlier this month when Lindy shared a picture without her ring on, with sources since claiming the couple have been over for some time.

And on Tuesday, Lindy was spotted for the first time since the sad news emerged as she made a sombre outing in Melbourne during a solo coffee run.

It is her first public sighting since she moved from Bali back to Australia and into a new home in Melbourne with her four children.

During the low-key outing, Lindy was seen ring-free as her left hand was notably bare of any jewellery following her and Adam's separation.

The ex-wife of Australian Olympic swimmer Michael Klim cut a laidback figure in a grey jumper and wide-leg blue tracksuit bottoms.

She kept comfortable in a pair of white trainers and had a serious expression on her face as she scrolled through her phone while walking.

Lindy kept her essentials in a grey handbag and swept her chocolate tresses back into a slick ponytail to complete her look. 

Lindy has just moved back to Australia from Bali after her and Adam's separation and shared photographs of her moving into her new home in Melbourne on Monday.

In the Instagram post, Lindt admitted she was 'literally starting from scratch again' after relocating to Melbourne in the big change.

Lindy also shared a photo of the first meal she enjoyed in her new home with her friends and family.

'Christening the new house with dirty take out,' the image was captioned.

Rumours of a break-up between Lindy and Adam emerged earlier this month when she posed for a picture with her four children - with no sign of her husband.

After posting the image to Instagram, eagle-eyed followers noticed that Lindy was also no longer wearing her engagement ring.

An insider later claimed the pair have been well and truly over for some time.

'They have also not been seen together for a number of months,' an insider told Confidential.

'Plus he isn't in any of her social media photographs.'

Daily Mail Australia was the first to reveal a potential split between Lindy and Adam after the celebrity fashionista posted the tell-tale family photo to her social media.

Lindy shares three children - Stella, 18, Rocco, 16, and Frankie, 13 - with her ex-husband Michael Klim, and one with her second husband, Goldie, seven.

She amicably co-parents the three children she shares with Michael - who is now in a relationship with Michelle Owen - and credits her ex-husband for her confidence. 

Two years after her divorce from Michael in 2018, Lindy married Ellis in a lavish Tuscan ceremony.

Highly-regarded athlete Michael retired from competitive swimming in 2007 and runs a successful swim school business in Bali, where he lives with Michelle.