It is well known that for meromorphic functions that share values (ignoring multiplicities), the “dividing line” between the trivial case and the nontrivial examples occurs between four and five shared values. In this paper we show that for meromorphic functions that share pairs of values (ignoring multiplicities), the “dividing line” between the trivial case and the nontrivial examples occurs between five and six pairs of values. We also discuss meromorphic functions that share four pairs of values.