 Ramba uchiverenga ndima iyi - Muna 1997, Simeone akadzokera kuSerie A neInter Milan uye akatamba mwaka miviri yakazara, achikunda UEFA Cup ya199798 muchikwata chakatungamirwa naRonaldo kumberi. Muna 1999, Simeone akabatana nevamwe veArgentina Néstor Sensini, Matías Almeyda naJuan Sebastián Verón kuSven-Göran Erikssons Lazio. Rutivi rwacho rwakanga rwava pedyo neScudetto mumwaka pamberi pekuuya kwaSimeone uye akabatsira kuendesa mukwikwidzi mushure memwaka, apo Juventus yakatungamirira zvigaro nemapoinzi maviri kupinda muzuva rokupedzisira. Kurasikirwa kweJuve paPerugia kunonaya pamwe nekukunda kwaLazio kumba kuReggina kuStadio Olimpico kwakachengetedza zita rekutanga raSimeone reSerie A. Mushure mekukunda kaviri muSpain, akazowedzera kaviri kuItaly sezvo Lazio yakatambanudza Inter kuti itore 1999-2000 Coppa Italia. 