[3] He tied for 5-6th at Paris 1923 (Victor Kahn won), took 3rd at Biarritz 1926 (André Chéron and Frederic Lazard won), took 2nd, behind Chéron, at Saint-Cloude 1929, shared 2nd with Savielly Tartakower, behind Eugene Znosko-Borovsky, at Paris 1930, took 2nd, behind Aimé Gibaud, at Rouen 1930,[4] took 9th at Paris 1933 (Alexander Alekhine won), took 6th at Sitges 1934 (Andor Lilienthal won), took 2nd, behind Baldur Hoenlinger, at Paris (L'Echiquier) 1938.
[6] Gromer played for France in Chess Olympiads: In September 1939, when World War II broke out, Gromer, along with many other participants of the 8th Chess Olympiad (Najdorf, Stahlberg, et al.) decided to stay permanently in Argentina.
[8] He won at Buenos Aires (Bodas de Plata) 1940, followed by Franciszek Sulik, Carlos Guimard, etc.
[9] He took 7th at Aguas de Sao Pedro/São Paulo 1941 (Erich Eliskases and Guimard won).
He took part in the French Championship 1947, where he shared second place with Amédée Gibaud and Nicolas Rossolimo.