3.3V Pro Mini w/ 5V LCD?

Hello all.

I have a common (16 pin, direct connect) 5V LCD that I usually have run with a standard 5V Arduino Leonardo. However, I also have a 3.3V/8Mhz Arduino Pro Mini that I wish to run the LCD from. Can I simply run the Pro Mini directly off of 3.3V and the LCD directly off of 5V, and just connect the data lines between them directly, or should there be some types of logic level translator or anything? I presumed that data would only be flowing TO the LCD, not back FROM it, so damaging the Pro Mini didn't seem to be a problem. However, I want to find out before I potientially mess something up.....