A medical system includes a catheter navigable through vasculature of patient to introduce a valve clip configured to join the edges of heart valve leaflets. The valve clip includes a deformable wire configured to engage valve leaflets, the wire extending from a first wire portion to a second wire portion. The catheter includes a handle having control members, an elongate body defining a lumen extending from the handle to a distal opening, and first and second delivery devices operatively coupled to a control member and extending through the lumen to the distal opening. Each delivery device is configured to releasably couple to a portion of the wire and moveable relative to the distal opening. The delivery devices are controllable at the handle to move the valve clip between an extended configuration and a contracted configuration to engage the valve leaflets.