Despite their 1-2 defeat in the semi-final return leg to Atletico Madrid, Real booked their place in the final, which will be played on June 3 in Cardiff.
Atletico, which trailed 3-0 after the first leg, scored twice in the first 16 minutes at Vicente Calderon Stadium to move within a goal of sending the semifinal second-leg into extra time.
By then Atletico were 2-0 ahead after Saul Niguez headed the home side ahead from a Koke corner in the 11th minute before Antoine Griezmann doubled Atleticos lead six minutes later after Rafael Varene had fouled Fernando Torres in the Real Madrid penalty area.
The Atletico midfielder did nearly manage to get himself sent off in the second half with a late challenge on Casemiro.
They also have a slim chance of making up the five-point gap to Atletico Madrid in third, something f ormer River Plate man Mercado has not given up hope of.
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The signings three seasons ago of both German Toni Kroos and Spaniard Isco have helped Real as the two midfielders have played steady throughout the season.
However, a goal from Isco shortly before half-time effectively killed the contest and Madrid saw out the second half in more comfortable fashion to progress to the final with a 4-2 aggregate win.
"We have three cup finals in LaLiga and we're starting with the first, tomorrow", the Frenchman told realmadrid.com.
"The first 30 or 35 minutes of the first half will stay in the memory of people and, yes, the opposition possibly took advantage of defensive disorder to score, but those moments and the magical nights that happened in the Calderon will stay in the memory".
"Bayern Munich, Real Madrid, Juventus - there's a lot of money that's come into the English game, but all the English teams seem to be in a transition".
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"I'm happy and proud to have shown what we are all about", Atletico coach Diego Simeone said.
"Now there's time to prepare, but on Sunday we already have an important Liga game (at home to Sevilla)". "It's going to be an incredible game, they are very strong and they totally deserved to go to Cardiff like we did".
"Anything can happen in the final, but I see the team as being in fine shape and we'll contest and win the final".
"One thing is to be successful at Europe, something which delights us, but we should try to dominate in Spain too because the fans deserve it".
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Gerina Piller, second entering her third consecutive round alongside Thompson, had a 74 to drop into a tie for ninth at 6 under. Kokrak also hit 26 of 36 greens in regulation through 36 holes, but just 19 of 36 on Saturday and Sunday.