Tybalt's emotions about Romeo do not subside after the party. He is upset that a Montague would have the guts to show up at a Capulet party. Tybalt takes it as a great insult and tries to go get his sword. Lord Capulet stops Tybalt and tells him to calm down and not worry about Romeo being there. Romeo is well respected and Lord Capulet will not have him hurt at a party of his.
Here in my house do him disparagement:
Therefore be patient, take no note of him:
It is my will, the which if thou respect,
Show a fair presence and put off these frowns,
And ill-beseeming semblance for a feast.
He shall be endured:
What, goodman boy! I say, he shall: go to;
Am I the master here, or you? go to.
You'll not endure him! God shall mend my soul!
You'll make a mutiny among my guests!
You will set cock-a-hoop! you'll be the man!
To Tybalt's credit, he honors Lord Capulet's wishes; however, Tybalt vows to follow the letter of Capulet's words, not the spirit. Tybalt agrees to not do anything to Romeo at the party as ordered, but he vows to get revenge at another time.
Patience perforce with wilful choler meeting
Makes my flesh tremble in their different greeting.
I will withdraw: but this intrusion shall
Now seeming sweet convert to bitter gall.
All of that is at the party though. Tybalt's emotions do not cool down the next day either. In Act 2, Scene 4 Benvolio and Mercutio reveal to the audience that Tybalt is just as set on confronting Romeo as he was before. Tybalt has sent a letter to the Montague house to challenge Romeo.
BENVOLIOTybalt, the kinsman of old Capulet,
Hath sent a letter to his father's house.
MERCUTIOA challenge, on my life.
So apparently Tybalt's emotions after the party are just as hot as they were during the party.