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We give a condition on the spatial distribution of filled cells in a partial Latin square P that is sufficient to ensure completability, regardless of what symbols are used in the filled cells. For example, if P is of the order mr + t, where m, r are positive integers and t ≥ 0, m is odd, and the filled cells of P are contained in the first m+1 2 r × r subsquares along the main diagonal, our condition is fulfilled, and P is completable. Another example is if P (of the same order) has non-emptydblp:journals/ajc/Ohman09 fatcat:k4fosd4ltreqln347hixa463h4