Gömöri made a donation of manuscripts to Birmingham University Library in 1969. Much of his correspondence in Hungarian, including letters by Istvan Vas, is in the Országos Széchényi Könyvtár (the Hungarian National Library, Budapest); a further collection was accessioned by the Petőfi Literary Museum in Budapest in 2023. The Polish National Library in Warsaw holds letters to Gömöri from Jerzy Giedroyc (editor of the emigre journal Kultura) and Zbigniew Herbert. The bulk of the letters in Polish received by Gömöri, including those from Czeslaw Milosz, are in the Jagiello University Library, Cracow.