Planinca is the site of a mass grave associated with the Second World War. The Ledenica near Planinca Mass Grave (Slovene: Grobišče Ledenica pri Planinci) is located in the Ledenica Shaft northeast of the village, in the northern foothills of Mount Krim. The grave contains the remains of undetermined victims.
The local church is dedicated to Saint Thomas and belongs to the Parish of Preserje. It was first mentioned in written documents dating to 1386, but was in a ruined condition until it was reconstructed in 1989.