A catheter apparatus (400) comprising a first catheter (412) including a wall (416) with an inner surface (418) at least partially defining a lumen (422), a first portion (419) of the wall of the first catheter being made of a relatively low durometer elastomeric material and being relatively extensible, a second portion (421) of the wall being formed of a relatively high durometer elastomeric material and being relatively inextensible a second catheter (414) connected to the wall of the first catheter and disposed outward of the inner surface of the wall, the second catheter being at least partially covered by a sheath portion of the first catheter and a control mechanism (464) to engage a stylet (478) when disposed in the lumen and to control relative movement between the stylet and the first portion of the wall and consequent extension of the first portion of the wall.