Los Blancos are said to be the favourites to secure Mbappe's signature, with the France international seemingly preparing to leave Paris Saint-Germain when his contract expires next June.
Ancelotti has said that Real Madrid president Florentino Perez has "big plans" and "serious intentions" for next summer's transfer window, with Haaland and Mbappe both thought to be targets.
"At Real Madrid, everything is the same and unchanged," Ancelotti told Corriere dello Sport. "The only thing that changes are the coaches. The same physios, the same workers, the same journalists, the same vision, the same urgency for greatness, despite the economic damage caused by the pandemic.
"In one year, at the end of December 2022, the new [Estadio Santiago] Bernabeu will be ready and Florentino has big plans for July. Florentino has very serious intentions. [Signing Erling] Haaland in addition to [Kylian] Mbappe? Let's talk about it later."