An apparatus (10) for extruding a profile material to form a profile (11) of substantially constant cross-section onto the peripheral edge (12) of an article (13). The apparatus (10) includes a movable die head (30) for circumferentially traversing the peripheral edge (12) of the article (13). The die head (30) has a profile orifice (31) positioned proximate to the peripheral edge (12) of the article (13), and a supply channel (50) in fluid communication with both the profile orifice (31) and a pressurized source of the profile material (24) for directing the profile material to the profile orifice (31). The apparatus also includes selectively pivotable vane means (60) positioned within the supply channel (50), wherein the vane means (60) is pivotable to variably direct the flow of the profile material to the profile orifice (31 ) as the die head (30) moves. A method for extruding a profile material to form a profile (11) of substantially constant cross-section onto the peripheral edge (12) of an article (13) includes the steps of directing a substantially constant amount of the profile material under pressure through a supply channel (50) and through a profile orifice (31 ) of a die head (30) as the die head (30) is directed to circumferentially traverse the periphery (12) of the article (13); and, variably directing the flow of the profile material to the profile orifice (31) with a selectively pivotable vane (60).