Subject: Solubility of covalent bonded compounds.

It's easy to visualize how ionic compounds dissolve (say in polar solvent), 
for instance NaCl simply dissociates into Na+ and Cl- where both the ions are 
stable in solvent (say water) but how a covalent compound dissolve? For 
instance I2 (non-polar compound, rather a covalent compound) is slightly 
soluble in water, how is this solubility to be seen? i.e. I2 cannot form ions 
so how does it dissolve in water? Moreover, how iodine's solubility is greater 
in (say glycerol)? How does this physicaly happen? I know that non-polar 
solvents dissolve non-polar compounds/elements, but how?

Re: Solubility of covalent bonded compounds.