I don't have any doubt that Real Madrid would be able to provide the same contract conditions to Mbappe if they want. However I don't expect any official offer from them in the near future. Especially after he has preferred to stay instead of signing for Real Madrid, there is no need to push their luck now. Mbappe is clearly happy with his game here.
There would really be another opportunity for Real Madrid in the future. But they don't even need him for now to be successful. Ancelotti is very pleased with the team quality now and he is already doing a marvelous work. While you are able to win the Champions League with the current squad, there is no need to splurge on a player.
The claim Real Madrid made as he failed to sign for them during the last transfer window will be the only reason they wouldn't bid for Mbappe, but dip in their heart if they will have him in their squad it will be a good advantage for them, and Mbappe will also achieve more goals even though I know he will do so in PSG too.
There are many rumors that Real Madrid is still trying to sign Kylian Mbappe. But on the other hand, many do not want Mbappe to wear a Los Blancos uniform after the incident in the last transfer market. The rejection was allegedly because Mbappe was more tempted by what he got at Paris Saint Germain. In fact, it's fine if Real Madrid are still hunting for this player, because he is indeed a player who has very good abilities on the field. But right now nothing could be closer than Mbappe's stay with Paris Saint Germain.
After the great game played by Kylian Mbappe in the last final match, the teams have to enter the transfer race for him. In my opinion, it has increased its value exponentially. His name is constantly on the agenda with Real Madrid, in fact, a striker like Mbappe would be a medicine for Real madric right now. I think definitely Mbappe should play for Real Madrid now or later he will play for this team. I think it's the right time to play.