Lionel Messi is expected to be fit after struggling with a thigh problem and if he does grace the pitch, he'll don a commemorative match shirt.
Messi has scored in nine straight games in all competitions, and is La Liga's leading scorer with 21 in 22 matches.
Barca remain La Liga leaders, but Real have closed the gap and are now third, with Solari having helped restore some equilibrium in Madrid.
Ousmane Dembele, who also trained after recovering from two weeks out with an ankle sprain, has not been named in the squad.
They arrive for the first-leg match at Camp Nou enjoying their best period of the season and with almost all of its players available.
Barcelona's Lionel Messi celebrates scoring their second goal. "If it was the last match tomorrow, than it would be different".
"This action is added to the video of congratulation for the Chinese New Year that was made by the club and released this Monday, with the participation of first team players Leo Messi, Gerard Pique, Marc-Andre ter Stegen and Samuel Umtiti", said the statement.
"We have one training session to go, so we'll see how he is and if he can finish it and then we will decide if he plays", said the Barca coach, whose side have already defeated Madrid 5-1 this season without Messi in the side.
Barcelona entered the second period facing the prospect of yet another Copa Del Rey first leg defeat, but the floundering Malcom would draw his side level just before the hour mark.
"In a semi-final between Barca and Madrid there's no favorite".
Now, they are looking to end FC Barcelona's run of four consecutive Copa del Rey triumphs.