Awon agbaboolu won ni odun 1965 gege bi isokan ti awon egbe agbaboolu meji, Sportclub Enschede ati Enschedese Boys. Awon agbaboolu ti won ti gba ife-eye Dutch kan ni odun 1926. Awon aseyori akọkọ ti egbe naa bere ni kete ti isokan ti odun 1965, labe olukọni Kees Rijvers. Twente pari ni ipo kẹta ni 1969, kẹrin ni 1970, karun ni 1971, kẹta ni 1972 ati lẹẹkansi ni 1973. Awọn nọmba pataki ti egbe naa jẹ awọn akikanju agbegbe, gẹgẹbi Epi Drost, Eddy Achterberg, Theo Kick van der Vall ati Pahlplatz. Akoko Eivredisie ti o dara julọ ni 1973-1974, ninu eyiti Twente ja fun ife-eye Dutch pẹlu Feyenoord.
Ọdún 1965