 Kunyora kuenderera mberi kweiyi ndima - Inoonekwa zvakanyanya senzvimbo yepamusoro yepamberi munyika mushure mekuratidzira kunoshamisa kwechikwata chenyika cheSweden, Simonsson akasainwa nechikwata cheLa Liga Real Madrid muna 1960. Zvisinei, makwikwi akasimba kubva kunyanya Alfredo Di Stéfano akaganhurira mikana yekutamba yaSimonsson kukirabhu uye akapedzisira atamba mumitambo mitatu chete yeligi panguva ya1960 61 La Liga mwaka, achihwina chinangwa chimwe sezvo Real Madrid yakashongedzwa semakwikwi. Akanga ariwo chikamu chemauto eReal Madrid akakunda 1960 Intercontinental Cupuye 196263 La Liga, asi haana kugamuchira chero nguva yekutamba. Kubva muna 2020, Simonsson achiri iye chete muSweden akambomiririra Real Madrid. 