Second one is correct. the second is the correct tense is the subjunctive form of the verb, it is used when you state that a situation is not real but a guess or a wish. The first sentence is written in conditional, it doesn't state an imagitative situation but a conditional on a real possibility... like Si hiciera sol... haría una barbacoa fuera. If it was sunny... I would have a BBQ outside

- Me gustaría que hiciera sol. It´s correct - Me gustaría que saliera el sol - Me gustaría que haga sol.

Gracias

La segunda ;) Tambien se podria decir: Me gustaría que hiciese sol