Swank, 40, was seen "holding hands under the table" with a date, reported New York Post.
"They were very close and intimate. They were definitely on a date," a source said.
The two seemed to be pretty familiar with each other.
Swank divorced Chad Lowe in 2007, and was then romantically linked to agent John Campisi and, later, Laurent Fleury. But she and Fleury haven't been photographed together since late last year.
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