A pipe coupling includes an annular seal disposed in an annular clamp housing, which has an opening for inserting therein a pipe and which includes clamp members and tightening elements operative to fasten and tighten the clamp members towards each other in a direction transverse to an axial length of the annular clamp housing so as to apply a radially-inward clamping force on the pipe. Grip elements are located about an inner perimeter of the opening. Each of the grip elements includes a static wedge, which is fixed to the annular clamp housing, and a movable wedge, which is covered by a grip member having gripping teeth, arranged to slide axially relative to the static wedge.