Dramas where FL tries to set the ML up with someone else?

My Love, Enlighten Me 

Story of Yanxi Palace -  Seems to be what you asked for but a much longer drama (70 eps) so it takes longer to happen but FL wants ML to love her mistress (The empress, his first wife) deeply but he eventually starts falling for her(More deeply than his other wives)

King is Not Easy - Isn't really what you asked for as its the other way round. ML firsts stars by trying to get FL with another man but falls for her (First)

 Bubblegum20:

I´m searching for dramas where the Female Lead tries to set up the Male Lead with someone else.

A Piece of Your Mind - The FL helps the ML reconnect with his first love and they mourn her death together. The FL falls first but the ML is intrigued by the FL from the beginning. The FL tries to hide her feelings and doesn't act on them because of the situation with the ML's first love. So the dynamic is pretty different from most FL-falls-first dramas.

 Bubblegum20:

I also love dramas like Boy For Rent where the FL is in love with someone else and the ML tries to set her up with the guy but ends up falling for her.

The Story of Ming Lan - Shortly after the ML starts to fall for the FL he tries his best to help the FL's fiancee overcome obstacles that would prevent them from getting married, because he knows the FL will be hurt if the fiancee betrays her (the FL likes her fiancee, but I never felt that she was really in-love with him). When the finacee does not accept the ML's offer of help and chooses his family obligations over the FL, the ML has a clear conscience and pursues her himself.

Wednesday 3:30 PM - The ML helps the FL feel better / stick it to her ex (who broke up with her at 3:30 on a Wednesday, the time and day of the week that she believes she looks her worst and most worn out, to date a younger co-worker) by taking her on fake dates at 3:30 on Wednesdays where she can re-energize.

Jealousy Incarnate - The ML is not the brightest. The FL liked him for years and he rejected her. Then when he finally starts to develop feelings for her he panics and sets her up with his best friend, who already likes her and is a serious catch. Of course they hit it off and the ML falls even harder.

 Bubblegum20:

Thank you AH! I don't know how to quote a short part of your recommendation so I'm reply like this. 

You're welcome :) If you're on desktop you can quote part of a reply by highlighting the part you want to quote. A "Quote button should appear above the quote that you can click on. Not sure if it's different on mobile.