  The possible torsion groups of elliptic curves induced by Diophantine triples
over quadratic fields, which do not appear over Q, are Z/2Z x Z/10Z, Z/2Z x
Z/12Z and Z/4Z x Z/4Z. In this paper, we show that all these torsion groups
indeed appear over some quadratic field. Moreover, we prove that there are
infinitely many Diophantine triples over quadratic fields which induce elliptic
curves with these torsion groups.
