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'The greatest. Hands down': Rose Byrne's partner Bobby Cannavale shares a gushing post as the Hollywood actress celebrates her 37th birthday

By Nic White and Millie Thwaites For Daily Mail Australia

Published: 04:51 EST, 25 July 2016 | Updated: 05:40 EST, 25 July 2016

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They have been an item for four years and welcomed their first child in January.

And on Sunday, Rose Byrne and Bobby Cannavale showed their love for each other as they celebrated the Australian actress’ 37th birthday with gushing Instagram tributes.

The Emmy-winning actor first congratulated his belle with a throwback snap from a trip to Miami they took early in their relationship.

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'The greatest': Bobby Cannavale paid tribute to his girlfriend Rose Byrne on her 37th birthday, sharing this throwback snap to Instagram

The couple soaked the bright Florida sunshine with the birthday girl shielding herself with a pair of sunglasses and a floppy knitted hat.

The star appeared to be sprawled on the white sand, leaning on her hand as she smiled at the camera in the selfie.

Bobby went shirtless on the warm day and flipped his sunglasses over his head.

‘Throwback to our first few months together. Happy Birthday to my lady @maryrosebyrne Rocky's Mom. The greatest. Hands down. End of conversation,’ he wrote next to the snap.

Loved up: He also shared this photo later in the evening, as the couple appeared to be celebrating the actress' birthday out on the town

Feeling grateful: Rose shared a throwback snap of the two at a polo game while tagging her location as The Statue Of Liberty, as she thanked everyone for their birthday wishes

He followed up in the evening with a snap of the two out for Rose’s birthday dinner at Brooklyn restaurant Lilia Ristorante.

The snap was taken by one of their friends just as the pair appeared to be about to kiss, with glare from the kitchen behind them creating a stunning effect between their foreheads.

They had dressed up for the celebration, Rose slipping into a little black dress and Bobby in a pinstripe dress shirt.

'Great birthday with great friends at a GREAT restaurant @maryrosebyrne @lilianewyork Seriously, you should eat here,' he wrote, sounding very impressed.

They appear to have spent some of the day at the Statue of Liberty, as while there is no photo posted of them there, Rose shared a throwback snap of the two at a polo game tagged at the landmark.

In the old photo, Bobby dons a pink shirt and brown-tinted sunglasses while Rose opens her mouth wide with excitement on the sunny game day.

Their tiny tot: Rose and Bobby share one child together, six-month-old son Rocco

Proud father: Bobby has shown himself to not only be a devoted boyfriend but a doting father, regularly sharing snaps of Rocco to Instagram and gushing over his tiny tot

'Sun is out! Thank you for all birthday wishes,' she wrote to her Instagram followers.

The two are not only united by their love for each other, but by their six-month-old son Rocco, who is their first child together.

Bobby has shown himself to not only be a devoted boyfriend but a doting father, regularly sharing snaps of Rocco to Instagram and gushing over his tiny tot.

He shared one snap of Rocco perched atop an enormous inflatable pink flamingo, captioning the snap: 'He's getting so big'.

Bobby is also father to 21-year old Jake Cannavale, who he shares with ex-wife actress Jenny Lumet.

And it seems Jake, who is also an actor, has followed in both of his parents' footsteps, appearing on Broadway and also on television.