@vilas.
You're not paying attention mate.
Does not matter whether a/c was in ALT* or not, by hitting VS0, you "break" the ALT* mode.
(Hence my comment "that you might have to press VS0 a few times because it will inevitably go into ALT* again with 3000ft/min ROC and 700' to go.)
No need for speed brake, or A/THR disconnection, if you just go VS0 and select speed .76.
And as for the comments of reducing ROC before level off, it is only rarely necessary above FL350,
and I think you will struggle to find any operator recommending the routine use of V/S mode at those levels irrespective of aircraft type....