Phrygian cap

A Phrygian cap is a style of hat where the top usually flops forward. In mainstream Smurfs media, the Smurf hat is the common variation of the Phrygian cap, while other variations can be seen on other characters.

Glovey Story
In the Glovey Smurf story series, Bairn is a character that wears a style of the Phrygian cap that is also seen on the character Link from Nintendo's The Legend Of Zelda game series and its related animated series.