The rules on deflecting are as follows for 3rd level Monks (PHB, p. 78, bold added):
You can use your reaction to deflect or catch the missile when you are hit by a ranged weapon attack. When you do so, the damage you take from the attack is reduced by 1d10 + your Dexterity modifier + your monk level.
If you reduce the damage to 0, you can catch the missile if it is small enough for you to hold in one hand and you have at least one hand free. If you catch a missile in this way, you can spend 1 ki point to make a ranged attack with the weapon or piece of ammunition you just caught, as part of the same reaction.
A net counts as a ranged weapon, and requires an attack roll to hit (so far so good), but it's unclear to me whether or not it counts as a "missile" since it isn't thrown with the intent of transferring kinetic energy to a target. Similarly, I considered it less than obvious whether you could be said to "reduce the damage to 0" when the net's initial attack never did any damage in the first place.
So I'm throwing this question to the stack. Is an attack with a net an attack which a monk could "deflect", in the sense of catching it and throwing it back at an enemy (with a reaction and a ki point)?