Mezue ahịrịokwu na-esonụ: N'afọ 1994, Bosio nwere ihe ndekọ 4<unk>10 na 4.32 ERA na egwuregwu 19 (ihe niile na-amalite). Ihe ndekọ ya ka mma ruo 10<unk>8 na 1995, mgbe ọ gbara egwuregwu 31 (ihe niile malitere) ma nwee 4.92 ERA. Naanị oge Bosio pụtara na postseason bụ n'afọ 1995. Ọ malitere egwuregwu abụọ na ALDS megide New York Yankees, na-atụba ngụkọta nke innings ma na-ahapụ itoolu na-agba ọsọ (10.57 ERA); o deghị mmeri ma ọ bụ mmeri. Seattle gbagoro n'ọkwa
ALCS, na-efunahụ Cleveland Indians na egwuregwu isii. Bosio bidoro egwuregwu nke ise, na-enye ọsọ atọ (abụọ nwetara) na innings ma were mfu.