The datasheet for the ATmega chip says 40mA "absolute maximum" per pin and 200mA total.
That does NOT mean it's going to instantly fry at 41mA. But if you exceed 40mA and it does die, you know who to blame, right?
If this for a critical application or if you are going into production, I'd advise against exceeding the specs. But for a hobby project it's
probably going to work if you "push it" a little, and if you kill it you just have to buy another one. How bad are you going to feel that happens? If you were going into production, I'd ask "how much is a failure going to cost?"
There's nothing wrong with taking a risk as long as you understand the risks....with one 220ohm resistor!
... since the forward current of the 5mm leds is 20mA each and I am running 3 in parallel(60mA)
Assuming about 2V across the LED and 3V across the resistor, that's about 14mA per LED.