A surgical device having a longitudinal configuration and an axis extending between a proximal end and an opposing distal end includes a housing having an inner surface defining a chamber and a cannula extending distally of the housing. A valve disposed in the housing has a conical outer wall and a plurality of distal walls which form a first seal with the inner surface of the housing and a second seal. The walls include multiple fold segments which are foldable between a first position wherein the second seal closes the cannula and a second position wherein the second seal opens the cannula. A method for actuating the valve includes the step of inserting an instrument distally into the valve to contact the fold segments along a line and to move the fold segments to the second position.
