Paris Hilton has reportedly extended an olive branch to former best friend Nicole Richie - saying she wants to be pals again.The sexy socialite got on stage at a friend's Christmas party and sent a message to Nicole - who she has been feuding with for months.The stunning blonde says she sympathises with Nicole following her split from fiancé Adam Goldstein last week - and wants to patch up their troubled relationship.Paris - who recently split from fiancé Paris Latsis - reportedly said: "I'm really sorry to hear about Nic's engagement. I went through the same thing."With Christmas coming up, I realise I really miss her and want to get in touch again."

The friends mysteriously fell out in January, with hotel heiress Paris later declaring: "It's no big secret that Nicole and I are no longer friends. I will not go into the details of what happened. All I will say is that Nicole knows what she did and that's all I am ever going to say about it."

It was rumoured Richie, daughter of soul star Lionel Richie, had infuriated her pal by showing her infamous sex tape, 'One Night In Paris', to friends at a party.

However, Richie later rubbished the claims, insisting the pair just grew apart.

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