Rodri's late equaliser extended Manchester City's year-long unbeaten record at home but a 1-1 draw against Chelsea on Saturday handed Liverpool and Arsenal a huge boost in the Premier League title race.
Raheem Sterling gave Chelsea a first-half lead on his return to the Etihad and City were headed to a first defeat on home soil for 34 games until Rodri's deflected effort seven minutes from time.
City move four points behind leaders Liverpool and two adrift of Arsenal, but have a game in hand on both their title rivals.
