The pair made the most of their chances in a second-string Madrid team on Thursday, scoring two goals each in a 6-1 rout of third division Melilla in the Copa del Rey.
Javi Sanchez and Vinicius Junior also netted as the European champion advanced to the last-16 stage 10-1 on aggregate after having won the first leg 4-0 in the small Spanish enclave in Africa.
"They could all be starters for us, otherwise they wouldn't be here." Vinicius played well throughout and claimed his second goal for Madrid with a shot from inside the area in the 75th minute at Santiago Bernabeu Stadium.
Isco was a starter for the first time under Solari and was named captain. He hadn't scored a goal since September but one of his strikes against Melilla came from a superb long-range shot into the top corner.
Asensio, a second-half substitute in the league last weekend, hadn't scored since the first leg against Melilla in October.
Eibar was the first top-tier club to go out after drawing 2-2 at home to second division Sporting Gijon.
Eibar rallied from 2-0 down on Thursday but was eliminated 4-2 on aggregate.
Levante defeated second division Lugo 2-0 to advance 3-1 on aggregate. Jorge "Coke" Andujar and Raphael Dwamena scored late goals for the hosts at Ciutat de Valencia Stadium.
Athletic Bilbao repeated the 4-0 result from the first leg against Huesca to advance 8-0 overall. It was the third win for Athletic in 16 matches this season, and the team's first match since Argentine coach Eduardo Berizzo was fired.
Real Betis defeated third division Racing Santander 4-0 to go through 5-0 on aggregate.
Barcelona, Atletico Madrid and Sevilla went through on Wednesday. The draw for the last 16 will be on Dec. 13.
(This story has not been edited by Business Standard staff and is auto-generated from a syndicated feed.)