Celine Dion -- Hey, Lonely Airport Singer -- You Can Hang With Me (VIDEO)

Celine Dion is offering free show tickets -- and a little companionship -- to a guy who turned a lonely night in the Las Vegas airport into a hilarious video.

If you haven't seen the clip (below) ... Richard Dunn is in the airport all alone, late at night, doing an incredible lip-sync version of Dion's "All By Myself."

Celine tells us ... she LOVED Dunn's performance. She even videotaped him a personal message ... telling him to look her up next time he's in town ... and making him a very personal offer.