Legitimists
Affected by sinistrisme, few conservatives explicitly called themselves right-wing during the Third Republic as it became a term associated with the counter-revolution and anti-republican feelings and by the 1900s was reserved for reactionary groups. Those Legitimists who had rallied to the Republic in 1893, after Chambord's death ten years before still called themselves "Droite constitutionnelle" or "républicaine" (Constitutional or Republican Right). However, they changed their name in 1899 and entered the 1902 elections under the name "Action libérale" (Liberal Action). By 1910, the only group which openly claimed descent from the right-wing gathered only nostalgic royalists and from 1924 on the term right-wing practically vanished from the parliamentary right's glossary.
Rally of Republican Lefts
They defined themselves as "left-wing republicans" whilst they opposed left-wing policies. Indeed, until the end of the 19th century, the French left was defined as republican and the right as pro-monarchy. Then, when the republic was no longer questioned, the conservative republican groups, who had sat at the center-left of the assemblies, moved to the right-wing seats, but they continued to consider themselves as left-wingers: this is known as "sinistrisme".