Tapered source and drain contacts for use in an epitaxial FinFET prevent short circuits and damage to parts of the FinFET during contact processing, thus improving device reliability. The inventive contacts feature tapered sidewalls and a pedestal where electrical contact is made to fins in the source and drain regions. The pedestal also provides greater contact area to the fins, which are augmented by extensions. Raised isolation regions define a valley around the fins. During source/drain contact formation, the valley is lined with a conformal barrier that also covers the fins themselves. The barrier protects underlying local oxide and adjacent isolation regions against gouging while forming the contact. The valley is filled with an amorphous silicon layer that protects the epitaxial fin material from damage during contact formation. A simple tapered structure is used for the gate contact.