I don't think talking alone can solve this. She did talk tho but it isn't going through him. As you can see he said "i can throw everything away, the company, my family, everything" but that wasn't what she want. That alone won't solve everything. He's blinded by love right now while she's worried about his family, her family, after all, marrying wasn't just about them two but merging two families. She has been worried for the longest time on how people (the rich fellas) would see her family if they got together. Yeah i admit she's a bit obsessed over her work and career but it's valid tho considering how HARD she worked for it. A mere scandal can ruin her whole life and perhaps her siblings too (because they're under this company sponsorship to become athletes). So i get where she's coming from and her reasoning.
But yeah i agree they need to communicate better and work together. Seperating won't solve anything and will end it fr but if they really want each other they need to work for it. And perhaps some time alone can help them clear their heads and see the path ahead.

Hating FL is soooo unnecessary like bruh!!! ML crying because of heartache ? We all have our firsts. This is giving modern Cinderella drama. Selfish ML!!! Can't even seem to understand the gravity of the situation. Cry all you want you deserve it!!!!!!