 Nyorai kupfuurira kweiyi ndima - Celtic maneja Martin ONeill akasaina Valgaeren muna 2000 kubva kuRoda JC nokuda kwemari isingazivikanwi, inonzi inenge 3.8 mamiriyoni. Akabudirira pakarepo paCeltic uye akabatsira Celtic kukunda treble mumwaka wake wokutanga kuGlasgow. Mumakore matatu ekutanga aONeill kuCeltic, Valgaeren ndiye aive wekutanga sarudzo mumutambo wevatatu wekuzvidzivirira waive naye, Johan Mjällby naBobo Baldé. Akatamba nguva dzose muEurope, achihwina muCeltic Park 4-3 kukunda Juventus mumushandirapamwe weChampions League wa2001-02, uye aive chikamu chechikwata cheCeltic chakasvika mu2003 UEFA Cup Final.. Zvisinei, Valgaren akatambura nekukuvara mumakore ake ekupedzisira kuCeltic uye haana kutamba nguva dzose. Apo Gordon Strachan akatora semutungamiri weCeltic muzhizha ra2005, akasunungurwa pakusunungurwa kwepachena mushure memakore mashanu pachikwata chaakaita zvinopfuura 100 kuonekwa. Kuonekwa kwake kwekupedzisira kwekirabhu yaive 2005 Scottish Cup Final. 