Abstract: In this ambidextrous mitt, one of the two walls (F) has over its entire outer surface means (9) for fastening a removable layer or pad (N) to provide treatment and is designed to ensure thermal and mechanical protection of the part of the hand coming in contact with said wall, the wall (F) being connected to the other wall (S) by seams (2, 5) delimiting pockets (3 and 4d) for receiving the hand and the thumb. According to the invention, the wall (F) is composed of layers (7, 8, 9, and 10) giving it the shape of a semi-flexible wafer, while the other wall (S) is made of an elastic textile (11) shaped with an inflating agent to form pockets (3, 4a*, and 4d).