 Andreev akaita kutanga kwake pamwero weATP pazera remakore gumi nemashanu, paakagamuchira kadhi yemusango yekukodzera kwe2016 Moselle Open, kwaakarasikirwa naMichael Berrer. Andreev akatamba mu2017 Sofia Open kumusha kwake, achirasikirwa nemaseti maviri kuna Maximilian Marterer mumatanho. Gore rakatevera, Andreev akagamuchira imwe wild card, panguva ino yekukweva kukuru kwe2018 Sofia Opennhangemutange, asi akarasikirwa naDenis Istomin. Uyu muBulgaria ane makore 17 akava mutambi wokutanga akaberekwa muna 2001 kuti atambe mumutambo mukuru weATP World Tour. Muna 2019 Sofia Open, Andreev akapiwa imwe wild card yekukweva kukuru. MuBulgaria akasundira pasi rose Nhamba 45 Matthew Ebden kumatatu matatu, asi pakupedzisira akarasikirwa muchitatu set tie-break. Gore rakatevera Andreev akagamuchira imwe wild card yekukweva kukuru pa2020 Sofia Open, asi aisakwanisa kupfuura John Millman. 