The Collaborative International Dictionary of English v.0.48:

Basined \Ba"sined\, a.
   Inclosed in a basin. "Basined rivers." --Young.
   [1913 Webster]

The Collaborative International Dictionary of English v.0.48:

enclosed \enclosed\ adj.
   surrounded or closed in, usually on all sides. Opposite of
   unenclosed. [Narrower terms: basined; capsulate,
   capsulated; closed, closed in(predicate); coarctate;
   confined, fenced in, penned; embedded, fixed; embedded,
   surrounded; encircled; enveloped; fogbound;
   self-enclosed; surrounded, encircled]
   [WordNet 1.5]

WordNet (r) 3.0 (2006):

basined
    adj 1: enclosed in a basin