A surgical drain device includesan adhesion matrix of biodegradable polymer materialand a plurality of drain tubes attached to thematrix. The device is implanted within a surgicalwound to treat the presence of seromas, for example,and is used to promote drainage, tissueadhesion, and wound closure. The drain tubesconverge into a common collection tube thatleads wound fluid outside the body under gravityfeed or negative pressure applied to the collectiontube. The matrix contains an array of aperturesthat allow tissue contact across the device. Thedevice also can include a coating of surgical adhesiveand a tissue anchoring system of hooks orbarbs. The device and systems containing thedevice are particularly useful to promote the healingof surgical wounds from abdominal surgery.