taste skip press?

Correct. This is described in the Combat Sequence section of the rulebook:

Combat Sequence

Combat occurs in a series of one or more rounds. Each round of combat has seven steps:

1. Before Range: Play cards before range is chosen.
2. Determine Range: Use maneuvers to change the range to close or long.
3. Before Strikes: Play cards before strikes are chosen.
4. Strike: Announce and resolve strikes.
5. Damage Resolution: Prevent and mend damage.
6. Press: Use presses to continue into another round or to end combat.
7. End of Round: End of round cards and effects are played here.

Presses are played in step 6.
Then, whether or not a new round should start, you can play additional cards in the End of Round step, such as Taste of Vitae ("Only usable at the end of a round of combat.")

You cannot play presses after a Taste of Vitae.