A sealing, trimming or finishing strip has a gripping part (2) made of extruded elastomeric material and advantageously incorporating an embedded reinforcement or carrier (10). In use, the gripping part (2) embraces a flange (22) such as framing a closable opening in a motor vehicle body, to support a soft sealing part (4) which is compressed by the closing door for the opening, thus forming a seal. On at least one inside side wall of the channel of the gripping part (2), one or more gripping elements (14) are integrally mounted. Each such gripping element comprises a thin Web-like support (18) with an enlarged end or foot (16). Each foot presents a relatively large surface area which makes frictional area contact with the mount to hold the gripping part (2) in position. Each foot (16) has foot portions (16B, 16C) lying on opposite sides of a plane through the foot and through the support (18). Any 'pull-off force' tending to remove the strip from the flange (22) will tend to cause each foot (16) to pivot in a clockwise direction (as viewed in the Figure) on the support (18). One foot portion (16C) will tend to move away from frictional contact with the flange (22). The other foot portion (16B) will be forced into tighter frictional contact with the flange (22) and will thus provide high resistance to pull-off forces.

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