An introducer apparatus includes an outer sleeve and an inner cannula received within the lumen of the outer sleeve. The outer sleeve has a profile such that at least a portion of the distal end of the outer sleeve tapers in the distal direction at an angle not exceeding about 2° relative to a longitudinal axis of the apparatus. The distal open end of the outer sleeve has a wall thickness not exceeding about 0.003 inch, and is sized such that a first wire guide is receivable therethrough. The inner cannula includes a tapered distal end portion. The inner cannula distal open end is sized such that a second wire guide is receivable therethrough, and the first wire guide is not receivable therethrough. The tapered distal portion of the inner cannula extends distal to the distal open end of the outer sleeve, such that a generally smooth diametrical transition is provided between the outer sleeve tapered portion and the open distal end of the inner cannula.
