While none of the teens have confirmed their romance, the two appeared very cosy.
Richie was previously linked to singer Justin Bieber, 22. And in the past Beckham, 17, was in a relationship with Chloe Graze Moretz.
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Brooklyn Beckham may have a new lady!
The eldest son of Victoria and David Beckham was spotted at a London bowling alley on January 19, sparking rumours of a possibly flourishing romance.
In new snaps of the two, Sofia, 18, appears to be laughing as she plays bowling and partakes in a deep one-one-one conversation.
While none of the teens have confirmed their romance, the two appeared very cosy.
Richie was previously linked to singer Justin Bieber, 22. And in the past Beckham, 17, was in a relationship with Chloe Graze Moretz.
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