Question: how to evolve eevee into espeon in the day?
Answer: Make the Eevee you want to evolve your Buddy.
Walk with your Eevee Buddy for at least 10 KM and earn two at least Eevee candy. ... 
While that Eevee is still your Buddy, hit the Evolve button during the day to get Espeon, or at night to get Umbreon.