Undermined rhymes with:
mind, mined, remind, affined, aligned, assigned, behind, bind, blind, combined, confined, consigned, declined, defined, designed, dined, disinclined, elkind, enshrined, entwined, find, fined, freind, grind, gschwind, hind, inclined, intertwined, kind, lined, maligned, mankind, mind, mined, opined, pined, realigned, reassigned, reclined, redefined, redesigned, refined, remind, resigned, rind, shined, signed, twined, unconfined, undefined, unkind, unlined, unrefined, unsigned, unwind, wind, wined
Undermined sounds like:
unadorned, underhanded, undermanned, underneath, underwent, undetermined, undreamed, untrained, unturned