The defender spent the 2015-16 campaign on loan at the Stadio Olimpico from Stuttgart.
Now, the Serie A outfit have confirmed that they have secured the 23-year-old's services for a fee in the region of £6.8m.
Rudiger, who is part of the Germany squad for Euro 2016, scored two goals from his 30 league appearances for Roma last term.
Restore Data
| Team | P | W | D | L | F | A | GD | PTS | |
| 1 | Atalanta BCAtalanta | 16 | 12 | 1 | 3 | 39 | 17 | 22 | 37 |
| 2 | Napoli | 16 | 11 | 2 | 3 | 24 | 11 | 13 | 35 |
| 3 | Inter Milan | 15 | 10 | 4 | 1 | 40 | 15 | 25 | 34 |
| 4 | Fiorentina | 15 | 9 | 4 | 2 | 28 | 11 | 17 | 31 |
| 5 | Lazio | 16 | 10 | 1 | 5 | 30 | 23 | 7 | 31 |
| 6 | Juventus | 16 | 6 | 10 | 0 | 26 | 12 | 14 | 28 |
| 7 | Bologna | 15 | 6 | 7 | 2 | 21 | 18 | 3 | 25 |
| 8 | AC Milan | 15 | 6 | 5 | 4 | 24 | 16 | 8 | 23 |
| 9 | Udinese | 16 | 6 | 2 | 8 | 19 | 25 | -6 | 20 |
| 10 | Empoli | 16 | 4 | 7 | 5 | 14 | 16 | -2 | 19 |
| 11 | Torino | 16 | 5 | 4 | 7 | 17 | 20 | -3 | 19 |
| 12 | Roma | 16 | 4 | 4 | 8 | 18 | 23 | -5 | 16 |
| 13 | Genoa | 16 | 3 | 7 | 6 | 13 | 24 | -11 | 16 |
| 14 | Lecce | 16 | 4 | 4 | 8 | 10 | 27 | -17 | 16 |
| 15 | Parma | 16 | 3 | 6 | 7 | 23 | 28 | -5 | 15 |
| 16 | Como | 16 | 3 | 6 | 7 | 18 | 28 | -10 | 15 |
| 17 | Hellas VeronaHellas Verona | 16 | 5 | 0 | 11 | 21 | 39 | -18 | 15 |
| 18 | CagliariCagliari | 16 | 3 | 5 | 8 | 15 | 26 | -11 | 14 |
| 19 | Monza | 16 | 1 | 7 | 8 | 14 | 21 | -7 | 10 |
| 20 | VeneziaVenezia | 16 | 2 | 4 | 10 | 15 | 29 | -14 | 10 |
| > Serie A Full Table | |||||||||
