[10] On 23 March 1911, just a month after helping Lillois win its first-ever title, the USFSA selected the 19-year-old Eloy to play an unofficial match between UIAFA's France and AFA's England at the Parc de Princes; he scored his side's only goal in a 1–3 loss.

[11][12] When the USFSA joined the CFI in 1913, Eloy finally became eligible to play for the official French national team, making his debut on 9 March, in a friendly match against Switzerland at Geneva, scoring twice to help his side to a 4–1 win.

[citation needed] Eloy finally earned his second and last international cap against Luxembourg on 8 February 1914, but failed to score as France surprisingly lost 4–5.

[3][1][13] During the First World War, Eloy and his OL teammate Chandelier remained in their capacity as medical students, working as nurses at the Saint-Sauveur hospital in Lille, where they devoted themselves to relieving the suffering of their unfortunate fellow citizens under the German boot.

[16] He then settled as a military doctor in Anor, and in that same year, he founded the town's football club with the help of the few enthusiasts of the village, such as Lucien Bottiau, Jean Troisfontaine, Raoul Martin, André Fillette, and the Franco-Argentine Paul Million, a high-class goalkeeper.