A convertible car with a front engine having: a passenger compartment; a rigid sunroof; a trunk, which contains the rigid sunroof when the rigid sunroof is arranged in an open position; an upper covering, which is arranged over the trunk and is mobile between a closed position and an open position; a trunk lid, which is supported by the upper covering and is mobile relative to the upper covering; a first actuating device, suited to move the upper covering between the closed position and the open position; a second actuating device, suited to move the trunk lid relative to the upper covering between a completely closed position, in which the trunk lid completely closes the access to the trunk, and a semi-open position, in which the trunk lid is arranged in an intermediate position between the completely closed position and a completely open position.