Lily James looks cozy with boyfriend Michael Shuman after meeting the rocker’s parents

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She met his parents last week after two months of dating.

And Lily James, 32, looked more loved than ever with boyfriend Michael Shuman, 35, after taking their relationship to the next level.

The couple seemed devastated when they went out on Easter Sunday to run errands in Los Angeles.

Two's company: Lily James, 32, looked more loved than ever with boyfriend Michael Shuman, 35, after taking their relationship to the next level

Two’s company: Lily James, 32, looked more loved than ever with boyfriend Michael Shuman, 35, after taking their relationship to the next level

Lily kept things casual for the outing and wore a patchwork denim jacket that she overlaid over a taupe top and white mom jeans.

The Mamma Mia star wore a navy blue baseball cap and brown flats, while a white face mask dangled from her ear as she left the store.

Michael also kept it calm and paired a black cap and bomber jacket with jeans.

On the road: The couple seemed devastated when they went out on Easter Sunday to run errands in Los Angeles

On the road: The couple seemed devastated when they went out on Easter Sunday to run errands in Los Angeles

On the road: The couple seemed devastated when they went out on Easter Sunday to run errands in Los Angeles

Low-key look: Lily kept things casual for the outing and wore a patchwork denim jacket that she overlaid over a taupe top and white mom jeans

Low-key look: Lily kept things casual for the outing and wore a patchwork denim jacket that she overlaid over a taupe top and white mom jeans

Low-key look: Lily kept things casual for the outing and wore a patchwork denim jacket that she overlaid over a taupe top and white mom jeans

Lily and Michael have grown stronger since they connected in February.

The collaboration initially came as a shock to fans of the couple as Lily is known for her family-friendly roles on Downton Abbey, Cinderella and Mammia Mia.

Meanwhile, Michael is a member of Queens Of The Stone Age, the band notorious for stage nudity and drug and alcohol abuse claims.

Accessories: The Mamma Mia star wore a navy blue baseball cap and brown flats, while a white face mask dangled from one ear as she left the store

Accessories: The Mamma Mia star wore a navy blue baseball cap and brown flats, while a white face mask dangled from one ear as she left the store

Accessories: The Mamma Mia star wore a navy blue baseball cap and brown flats, while a white face mask dangled from one ear as she left the store

Hassle-free: Michael also kept it calm and paired a black cap and bomber jacket with jeans

Hassle-free: Michael also kept it calm and paired a black cap and bomber jacket with jeans

Hassle-free: Michael also kept it calm and paired a black cap and bomber jacket with jeans

The couple first bonded this year after being seen sharing a kiss outside a boutique Suffolk hotel while filming What’s Love Got To Do With It?

The American star reportedly stayed at the hotel where Lily and the cast and crew were quarantined for the film.

An eyewitness told the Daily Mail at the time: ‘Lily’s driver showed up just after 9am, then she and Michael emerged from the hotel together a few minutes later. They laughed and joked and looked very happy together. ‘

While last month, the American rocker was thought to be staying with her at her new £ 3million home in North London while she was filming in the UK.

Now things have taken a step forward, with Lily visiting Michael’s parents Ira Shuman, a former executive production manager for Walt Disney who has worked on such films as The Wedding Singer and Strange Days, and Janet Shuman last week.

Still going strong: Lily and Michael have been getting stronger since they got together in February, even though the partnership initially came as a shock to fans of the couple

Still going strong: Lily and Michael have been getting stronger since they got together in February, even though the partnership initially came as a shock to fans of the couple

Still going strong: Lily and Michael have been getting stronger since they got together in February, even though the partnership initially came as a shock to fans of the couple

Nice couple: Last month the American rocker was thought to be staying with her in her new £ 3million home in North London while she was filming in the UK

Nice couple: Last month the American rocker was thought to be staying with her in her new £ 3million home in North London while she was filming in the UK

Nice couple: Last month the American rocker was thought to be staying with her in her new £ 3million home in North London while she was filming in the UK

Lily has remained unremarkable since she became the subject of global scrutiny when footage emerged showing she and actor Dominic West enjoying an outdoor lunch with their mutual agent, Angharad Wood, in October.

They enjoyed a two-day vacation in Italy, where they were seen riding a scooter around Rome, and Dominic seemed to lean forward and kiss Lily’s neck at one point.

A source told MailOnline that the thespians spent two nights in a suite at the top hotel De La Ville with panoramic views of the city and just a two-minute walk from the Spanish Steps.

Going Strong: Now things have taken a step forward, with Lily visiting Michael's parents Ira Shuman and Janet Shuman last week

Going Strong: Now things have taken a step forward, with Lily visiting Michael's parents Ira Shuman and Janet Shuman last week

Going Strong: Now things have taken a step forward, with Lily visiting Michael’s parents Ira Shuman and Janet Shuman last week

Low-key: Lily has remained unremarkable since she became the subject of global scrutiny when images surfaced of her and actor Dominic West on a trip to Rome

Low-key: Lily has remained unremarkable since she became the subject of global scrutiny when images surfaced of her and actor Dominic West on a trip to Rome

Low-key: Lily has remained unremarkable since she became the subject of global scrutiny when images surfaced of her and actor Dominic West on a trip to Rome

Several days later, Dominic defiantly defended his marriage to wife Catherine FitzGerald, with the couple staging a photo opportunity outside their home in Wiltshire and telling reporters, ‘Our marriage is strong and we are still together.’

In February, it was reported that Dominic and his wife FitzGerald were focused on reviving their marriage while enjoying a luxury family trip to Kenya.

TV and movie star Lily was previously in a relationship with The Crown star Matt Smith, 38, on and off for five years, with the relationship reportedly over just weeks before she was pictured with Dominic.

In July, the actress was photographed returning to Chris Evans ‘London hotel after partying until the early hours at private members’ venue, Mark’s Club in Mayfair.

Just days later, the duo put on a cozy display while enjoying an ice cream together in a London park.

Lily has raised eyebrows in the past by forging close friendships with her co-stars in recent productions – Armie Hammer in Rebecca and Dominic in BBC drama The Pursuit Of Love.

The other leading men in her life …

Romance Time: With Doctor Who star Matt Smith

Only one cornetto: In the park with Captain American actor Chris Evans

When in Rome: With co-star Dominic West