Lions love to rule and the Virgin has the desire to serve, which on the surface might make this seem a perfect couple! However, there's more to life than the master/slave relationship, so let's look a little deeper.
Virgo was born under a flexible, Mutable Sign, but Leo is a stubborn Fixed Sign. Leo is ruled by the glorious Sun, so your light shines impartially on all. Virgo appreciates the bright light, it helps to distinguish between the colors of the pegs, which have to match and also allows the dust to be made visible, then cleaned out of all the corners. Seriously though, Virgo is ruled by austere Mercury, the adaptable messenger of the gods, so is a master of communication, analysis and (ugh!) criticism. This makes it easy for Virgo to find the right words to make special people feel wonderful... or feel terrible, depending on the Virgin's mood.
You are drawn to this discriminating intellectualism, but Virgo doesn't really get your outward-looking, dramatic nature. Sexually, Virgo has slow-burning fuse, but one that once ignited can create quite an explosion. Do you have the patience?
Because Leo is a Fire Sign and Virgo is an Earth Sign, you are perfectly capable of destroying each other. Virgo can smother your enthusiasm with no-nonsense practicality, but you have the power to scorch your Virgin's senses with over-the-top displays of emotion. Virgo is thrifty and even parsimonious, your glorious urge to shop till you drop will go over like a lead balloon. Learn to respect each other's differences; it's the only way to get along!
You are very physical and can be personally affronted if your Virgo mate is not inclined to match your ardour. Virgo's reserved nature is frustrating and can lead to quarrels. Lions and Lionesses love to be appreciated and thrive on praise, but Virgo is more inclined to be picky and likes to deflate what could by some be considered "inflated" egos.
Ye Gods! Too much of this and the King of Beasts will soon be hunting in another part of the forest. Unless there are compensating Moon Signs, or other factors, you'd both be better off looking elsewhere.