I review the present status of two related models addressing scenarios in
which the formation of heavy quarkonium states in high energy heavy ion
collisions proceed via "off-diagonal" combinations of a quark and an antiquark.
The physical process involved belongs to a general class of quark
"recombination", although technically the recombining quarks here were never
previously bound in a quarkonium state. Features of these processes relevant as
a signature of color deconfinement are discussed.Comment: 6 pages, 8 figures, based on invited plenary talk at Hard Probes
2004, Ericeira, Portugal, November 3-11, 2004, to appear in the proceeding