| White | ELO W | Black | ELO B | Result | Moves | ECO | Date | Tournament | View |
| Randviir, J | Ufimtsev, A | 1-0 ![]() |
73 | B92 | 1949 | URS-ch sf |
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| Randviir, J | Estrin, Y | 1-0 ![]() |
78 | C45 | 1949 | URS-ch sf |
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| Taimanov, M | Randviir, J | ½-½ ![]() |
25 | D31 | 1949 | URS-ch sf |
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| Kuzminykh, E | Randviir, J | 1-0 ![]() |
48 | D30 | 1949 | URS-ch sf |
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| Lisitsin, G | Randviir, J | ½-½ ![]() |
34 | E18 | 1949 | URS-ch sf |
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| Smyslov, V | Randviir, J | 1-0 ![]() |
39 | C64 | 1947 | Parnu |
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| Renter, R | Randviir, J | ½-½ ![]() |
30 | D48 | 1947 | Parnu |
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| Lilienthal, A | Randviir, J | 1-0 ![]() |
20 | B17 | 1947 | Parnu |
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| Kasparian, G | Randviir, J | 1-0 ![]() |
52 | D13 | 1947 | Parnu |
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| Boleslavsky, I | Randviir, J | 1-0 ![]() |
22 | B11 | 1947 | Parnu |
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| Randviir, J | Kotov, A | 0-1 ![]() |
41 | B10 | 1947 | Parnu |
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| Randviir, J | Simagin, V | 1-0 ![]() |
56 | B93 | 1947 | Parnu |
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| Randviir, J | Makogonov, V | 0-1 ![]() |
57 | B10 | 1947 | Parnu |
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| Randviir, J | Keres, P | 0-1 ![]() |
63 | C45 | 1947 | Parnu |
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| Randviir, J | Flohr, S | 0-1 ![]() |
27 | B17 | 1947 | Parnu |
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| Randviir, J | Bronstein, D | 0-1 ![]() |
41 | C45 | 1947 | Parnu |
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| Randviir, J | Bondarevsky, I | ½-½ ![]() |
41 | C01 | 1947 | Parnu |
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| Tolush, A | Randviir, J | 1-0 ![]() |
44 | D47 | 1947 | Parnu |
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| Randviir, J | Keres, P | 0-1 ![]() |
20 | C36 | 1945 | EST-ch op |
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| Randviir, J | Keres, P | 0-1 ![]() |
26 | B20 | 1943 | EST-ch |
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