Bed-hopping bad boy Jude Law (search) is desperately trying to worm his way back into the heart of estranged fiancée Sienna Miller (search).

The New York Post has the exclusive first photo of the troubled pair together since the Hollywood hunk dramatically confessed last month that he'd enjoyed sizzling sex romps with his kids' young nanny.

In recent weeks, the 32-year-old Law has been frantic to win back Miller, 23, who ripped off her $35,000 engagement ring and told friends she was through with the "Alfie" star.

He's called her on a daily basis, showered her with flowers, told her he wants to start a family and swore up and down that his days of being a dirty, deceiving dog are over.

And it just might be working.

In the picture, snapped Wednesday in the wealthy London suburb of Hampstead Heath, a beaming Miller accompanied Law as he took a stroll with a pet pooch and, not pictured, his three kids by ex-wife Sadie Frost.

Miller, in a stylish cotton sundress, seemed radiant as she trailed her shamed sweetheart, who wore a ratty pair of jeans, T-shirt, old jacket and sneakers.

Law's world was turned upside down when curvy nanny Daisy Wright, 26, revealed how she had "mind-blowing rampant sex" with the actor as he filmed "All the King's Men" in New Orleans earlier this year.

Frost promptly fired Wright after one of her sons told mom how he'd caught dad in the sack with Daisy.

A new, older nanny was immediately hired.

After the embarrassing news broke, Miller abruptly called an end to their engagement and took up residence in the apartment where she lived before shacking up with Law. She also began hanging out with ex-boyfriend Orlando Bloom.

But things seem to be thawing.

Law has also gotten himself an invitation to accompany Miller to her sister's wedding next month.

"Jude is delighted and Sienna wants him there," a source told London's Sun newspaper.

"He's keen to show her family he still loves her."

Still, it seems Miller remains a bit leery — she still isn't wearing her engagement ring.

Law was still married to Frost when he and Miller began dating. His divorce was not yet final when the photogenic pair became engaged last December.

After six years of marriage, Frost petitioned for divorce, stating in court documents that Law's behavior — his romantic history was reportedly spotty throughout the marriage — "increased the effect of postnatal depression, leading me to have to take treatment three times."

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