They went public with their relationship on Sunday night at the Emmy Awards.

And it’s clear Seth MacFarlane and his new squeeze Emilia Clarke are already super tight.

The new couple were spotted out to lunch in Los Angeles on Tuesday, smooching in the car before heading for a bite to eat at to Mel’s Diner.

Super tight: Seth MacFarlane and Emilia Clarke head to Mel’s Diner for lunch on Tuesday

The 28-yearold British actress donned a pair of skin-tight white jeans for the outing, pairing them with heels, a cream shirt and a black cardigan.

Seth dressed down for the occasion in blue jeans, a T-shirt and Converse sneakers without laces.

The new couple were incredibly affectionate with one another as they walked from Seth’s car, with Emilia wrapping her arms around Seth as he laughed.

Appetizer: The Family Guy Creator and Game of Thrones actress have a kiss in the car before lunch

New love: Seth is clearly delighted with whatever his new squeeze has to say

On Sunday night, MacFarlane escorted Clarke to the Emmys, where they posed together in an intimate Instagram snap.

They were also seen holding hands and having dinner together at HBO’s Emmys after-party.

A source told People.com: ‘Throughout the party, MacFarlane frequently draped his arm across Clarke‘s shoulder or wrapped it around her waist – and she didn’t seem to mind.’

It’s a match: The couple first ventured out publicly together on Sunday night at the Emmy Awards

Quite the gentleman: MacFarlane holds the door of his Aston Martin open for Emilia as she climbs in

Prior to their Emmys outing, the couple were also spotted out at Cafe Brass Monkey, a well-known karaoke bar in the Koreatown, Los Angeles.

They were spotted in the bar on ’80s  night, where Seth reportedly sang Jazz songs, and eyewitnesses saw them kissing.

Emilia was photographed singing to Seth as they sat at the bar with a song book between them.

The two then cracked up laughing, clearly having a great time. They left the bar just after midnight in Seth’s Aston Martin.

New love: Seth MacFarlane and Emilia Clarke at Cafe Brass Monkey karaoke bar in Koreatown last week

Karaoke serenade: Emilia’s courage clearly isn’t limited to her on-screen appearances as Daenerys Targaryen

It’s a wrap: The couple leave Cafe Brass Monkey around midnight and get into Seth’s Aston Martin

Emilia plays the feisty Daenerys Targaryen on the hit TV show Game of Thrones, who is recognisable by her distinct flowing blonde locks.

Connecticut-born MacFarlane, meanwhile, is best known as the creator of hit American TV show Family Guy, for which he also voices the main characters Peter Griffin, Brian Griffin, and Stewie Griffin.

He also wrote and directed this year’s hit comedy feature film Ted, starring Mark Wahlberg and Mila Kunis.

]In character: Clarke plays Daenerys Targaryen in the HBO medieval-fantasy series