Taylor Swift and Jared Leto have sparked speculation they are dating.

Jared was the toast of Hollywood on Sunday evening after he received the best supporting actor Golden Globe Award for his portrayal of transgender AIDS victim Rayon in Dallas Buyers Club.

Taylor didn't take home the best original song trophy she was nominated for, but that didn't stop her partying up a storm at some post-ceremony bashes. Both Jared, 42, and 24-year-old Taylor attended the InStyle Golden Globes after-party, with Jared so pleased to see the country musician there he posted a picture of them posing, with his award, on Instagram.

"Me. Taylor Swift. Golden Globes. xo (sic)," he captioned it.

Another guest posted an image of the pair on Twitter, with Jared seen leaning in to Taylor's ear. The blonde singer looked thrilled with the attention and was twiddling her fingers as she spoke to the 30 Seconds to Mars hunk.

Taylor was certainly dressed to impress, opting for a black crocheted minidress which showed off her slim figure to perfection.

The singer has been linked to a string of famous men in the past, including Harry Styles, John Mayer and Jake Gyllenhaal.

In October, she insisted she was happy focusing on herself at the moment.

"I get to have an easier life as there are no rumours that I'm getting engaged or about to be whisked away on a vacation I'm not going on!" she laughed. "I'm very happy without anyone in my life right now. Who knows what'll happen?"

The InStyle bash was just one of many held to celebrate the annual film and TV Awards. Many stars opted to attend the exclusive CAA Golden Globes party, held at the Sunset Tower Hotel. Among them was Jane Fonda, who apparently really got into the spirit of things.

"[She was] was dancing up a storm," an insider told New York Post. "At one point, West Wing star Mary McCormack was slapping Jane's behind. Mary was also twerking. Diddy was dancing with Sandra Bullock next to his ex JLo, who was dancing with Melissa McCarthy. Lady Gaga, who had been sitting on a day bed like Cleopatra, got up to dance with boyfriend Taylor Kinney."

It was a busy night for P. Diddy who also hosted a bash at 1Oak's LA venue where he congratulated The Wolf of Wall Street on its success - Leonardo DiCaprio picked up the best musical/comedy actor gong for his role in it.

Taylor also had a busy evening, putting in an appearance at the Weinstein Company and Netflix after-party, where she had a dance-off with pals according to Page Six. Idris Elba was also at the event as were Bradley Cooper and Leonardo - who kept things low-key by sitting with their mothers.