What to you do to discipline him? Have you tried to discipline him in the past? Since he's been at your house for over a year and is 3 years old now he knows he can get away with these things. It's never too late though.
If I were you I would sit down with the parents as a group and discuss behaviour and consequences at home and at daycare and make sure that you are all on the same page. Come up with a plan to improve this little boy's behaviour and consistency is the magic word.
Children learn from day 1 in my daycare exactly what is acceptable or not and I use a time out system. I have really well behaved children here who know exactly what I expect but I'm happy and they are happy and we always have fun together. Isn't that what you are looking for? Stressfree happy days?