Disturbing behavior down in Florida ... a man in Miami walked into a dance studio and stuck his nose in the couch cushion where an underage girl had just been sitting ... it's all on video, and now cops are involved.

The creepy footage from inside a Miami dance studio picks up with a girl sitting on a couch near the front door ... she gets up to leave, and then a man enters, makes sure the coast is clear, and then buries his face in the cushion where she'd been sitting moments earlier.

Miami Springs PD Chief Matthew Castillo tells TMZ ... one of the owners of a local dance studio contacted cops that night to report the "disturbing" incident, which happened Tuesday night as business was winding down.

Castillo says cops watched the video and felt the man showed "strange" behavior ... an

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