Kondogbia arrived at Valencia on Sunday and told reporters: "I'm delighted to be here."
Totti, 40, sat with sporting director Monchi and general manager Mauro Baldissoni as Roma won 1-0 win at Atalanta on Sunday.
Nikola Kalinic will undergo a medical after AC Milan all but confirmed his signing from Fiorentina on Sunday.
ESPN FC's Gab Marcotti discusses AC Milan's impressive start and VAR's debut in the first week of Serie A action.
Goals from Franck Kessie, Patrick Cutrone and Suso -- all in the first half hour -- set Milan on the path to victory on Sunday.
Nineteen-year-old Patrick Cutrone starred as AC Milan thrashed 10-man Crotone 3-0, while Mauro Icardi led Inter Milan to an easy win in Serie A action