Nothing like that. Not even close. Dante went to Hell in DMC2 through a hellgate to fight the demon that Arius summoned, and although he defeated him, the portal closed leaving him trapped in Hell. If I remember correctly then he rides his motorcycle and says '' Yeah let's go all the way to hell'' or something lke that and vanishes riding in the underworld. But after the credits it shows Lucia waiting sad in Dante's store when a sound of motorcycle is heard from outside.
Where the hell is Trish? Where is Lady? I hope they died so it makes sense. 3 chicks are too many even for Dante. He doesn't look in a good mood in DMC2 anyway.
I'd like to see Vergil back too. DMC3 had the most interesting story of them all. But it would be repetititive to see them fight each other again. If they could make a story that could fit Dante Vergil and Nero that would be brilliant. But I doubt that it would work. Chances are that Vergil won't return.. As for Sparda, there's not even half a chance..
Probably the stories will take place on some islands with hell gates and demons around, and the citizens will turn to Dante as usual or to Nero (that will be new) for help.

... And she cradles me down into sleep
Still I miss her so and for more I weep
And she gives me death yet i'm alive
raving eternally, on her I thrive..
... And she buries me down far too deep
Yet six-feet high and gives me bliss to keep
and she abuses me yet I abide
She's in demand, my hunger I cannot hide..
Her name's Jez..