01/By surface
each with its own count, at equal weight
Hard
0-1
C. leads 1-0 in 1 meeting on hard
Clay
0-4
C. leads 4-0 in 4 meetings on clay
Grass
Never on grass
no meeting on this surface
02/Every meeting
5 rows, newest first
| Date | Tournament | Surface | Round | Winner | Score, winner first | Ranks, Baena R. first |
|---|---|---|---|---|---|---|
| Feb 9, 2022 | Argentina OpenATP250 | clay | 2nd round | Ruud C. | 7-6, 6-3 | 78 v 8 |
| Oct 9, 2021 | BNP Paribas OpenMasters 1000 | hard | 2nd round | Ruud C. | 6-1, 6-2 | 85 v 10 |
| Jul 17, 2021 | Nordea OpenATP250 | clay | semifinal | Ruud C. | 6-1, 6-4 | 97 v 16 |
| Feb 12, 2020 | Argentina OpenATP250 | clay | 2nd round | Ruud C. | 6-1, 6-0 | 88 v 45 |
| Feb 23, 2017 | Rio OpenATP500 | clay | 2nd round | Ruud C. | 6-7, 6-4, 7-6 | 132 v 208 |
A record, never a share of meetings. Main-draw singles since 2013; a meeting ended by retirement is counted with the sets that were played and marked; a walkover is listed and counted in neither column. Carballes Baena R. and Ruud C. each carry the table against every opponent faced.