1. To become lodged, jammed, or stuck into some tight space. I thought the car would fit, but it ended up wedging in the narrow alleyway. The fabric got caught on the machinery and wedged in.

2. To jam or lodge someone or something into some tight space. A noun or pronoun can be used between "wedge" and "in"; often used in passive constructions. The table kept wobbling, so I wedged in a napkin under one of the legs. I was wedged in my seat for the entire performance. She wedged her hand in the opening to stop the leak.