Ku sii qor faqradan - tababarka guga ee xilli ciyaareedkii 1987, LaValliere waxaa lagu beddelay Pittsburgh Pirates oo ay weheliyaan Andy Van Slyke iyo Mike Dunne si ay isugu beddelaan qabashada Tony Peña. LaValliere iyo Van Slyke waxay markii dambe noqdeen kuwa ugu adag kooxaha Pirates ee horraantii 1990-meeyadii, markii Pittsburgh ay tagtay seddex horyaal oo National League Championship ah oo isku xigta laga soo bilaabo 1990 ilaa 1992. Nasiib darro kooxda Pirates, waxay ku guuldareysteen seddexdii kulan ee ay ka soo muuqdeen NLCS, sanadkii 1990 horyaalka adduunka ee Cincinnati Reds iyo 1991 iyo 1992 Atlanta Braves. 1992 NLCS
, LaValliere wuxuu ku lug lahaa ciyaartii ugu dambeysay ee caanka ah ee Ciyaarta 7, markii xiddiga ugu horreeya ee Atlanta (iyo Pirate-kii hore) Sid Bream uu si fudud u dhaqaaqay oo uu si dhib yar uga adkaaday calaamadda LaValliere si uu u dhaliyo orodka ku guuleysta taxanaha Braves.