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The pair were spotted dining at a restaurant in Denver together during the recent Democratic National Convention.
A witness told Life & Style: "They definitely looked like a couple. They were really into each other, giggling and smiling and even holding hands at one point.
"You could almost taste their chemistry! She looked beautiful and happy."
Hathaway, 25, ended her four-year relationship with businessman Raffaello Follieri in June. He was arrested for fraud four days later.
> Hathaway stays sceptical over new friends
