Finasseur was bred by Edmond Blanc at his Haras de Jardy stud farm at Marnes-la-Coquette about sixteen kilometers west of central Paris and purchased for racing by Michel Ephrussi, a wealthy businessman connected to the Rothschild banking family of France.
Sent to race at age two, Finasseur notably won the 1904 Prix des Chênes at Longchamp Racecourse in Paris.
He was ridden to victory by future United States Racing Hall of Fame inductee Nash Turner.
Retired to stud duty at his owner's Haras du Gazon in Normandy, Finasseur had only been bred to a few mares when he injured himself in his stall and broke a leg bone.
Of note, a Finasseur filly named Stanzia was purchased in utero by Haras San Ignacio in Argentina.