| 15‑Sep‑2024 | Davis Cup Finals RR: SVK vs CHI | Hard | RR | 113 | 22 | Kovalik d. Alejandro Tabilo [CHI] | 6-4 6-7(5) 6-1 | | 1.16 | 6.0% | 3.0% | 66.0% | 75.8% | 55.9% | 1/2 | 2:03 |
| 18‑Jul‑2022 | Hamburg | Clay | R32 | 186 | 830 | (Q)Kovalik d. (WC)Max Hans Rehberg [GER] | 3-6 7-5 6-1 | | 1.05 | 3.0% | 1.0% | 78.8% | 62.8% | 33.3% | 7/11 | 2:15 |
| 5‑Apr‑2021 | Cagliari | Clay | R32 | 128 | 136 | (Q)Kovalik d. (Q)Sumit Nagal [IND] | 3-6 6-1 6-3 | | 1.22 | 0.0% | 3.6% | 65.5% | 69.1% | 48.3% | 9/12 | 2:13 |
| 8‑Mar‑2021 | Santiago | Clay | R32 | 129 | 168 | (Q)Alejandro Tabilo [CHI] d. Kovalik | 6-1 0-6 6-4 | | 1.03 | 10.9% | 4.7% | 64.1% | 68.3% | 34.8% | 1/5 | 1:44 |
| 23‑Jul‑2018 | Hamburg | Clay | R16 | 113 | 272 | (Q)Kovalik d. (WC)Rudolf Molleker [GER] | 6-4 6-0 | | 2.38 | 14.6% | 2.4% | 65.9% | 88.9% | 57.1% | 0/0 | 0:52 |
| 15‑Jul‑2016 | Davis Cup G1 R2: HUN vs SVK | Clay | RR | 124 | 165 | Kovalik d. Marton Fucsovics [HUN] | 6-7(5) 6-4 7-6(5) 6-1 | | 1.23 | 1.6% | 2.3% | 57.4% | 64.9% | 58.2% | 5/10 | 3:33 |
| 4‑Jan‑2016 | Chennai | Hard | R32 | 259 | 157 | (Q)Thomas Fabbiano [ITA] d. (Q)Kovalik | 1-6 6-3 6-4 | | 1.06 | 4.7% | 1.2% | 73.3% | 60.3% | 47.8% | 9/14 | 1:58 |
