An apparatus and method for connecting two tubular vessels together in a side-by-side or tangential manner is disclosed. The apparatus has an annulus and at least one series of fingers connected to and extending away from the annulus. Each finger is preferably heat-formed into an arcuate shape. In use, a deployment apparatus is used to constrain the fingers of the apparatus to be in a relatively planar configuration. The deployment apparatus containing the apparatus is placed between and in contact with the two tubular vessels so that one tubular vessel is above the device and one tubular vessel is below the device and so that the fingers of the device come into contact with the tissue of the vessels. As the fingers penetrate the vessels the constraint on the fingers is removed so that the fingers can assume their unbiased, heat-formed arcuate shape. In this way, the fingers penetrate and grasp the tissue of the vessels so that the apparatus grasps the vessels and pulls the vessels toward each other.
