Methods and apparatus are provided for decision-feedback equalization with global minimum convergence. A threshold position of one or more DFE latches employed by a decision-feedback equalizer is determined by obtaining a plurality of samples of a single-sided data eye using at least one decision latch and at least one roaming latch; comparing the samples obtained by the at least one decision latch and at least one roaming latch to identify an upper and lower voltage boundary of the single-sided data eye; and determining a threshold position of the one or more DFE latches based on the upper and lower voltage boundaries. The comparison can optionally comprise obtaining an exclusive or (XOR) of the samples obtained by the at least one decision latch and at least one roaming latch. The XOR comparison positions an opening for the single-sided data eye at a zero hit count.