If you guys haven't used it before -- try those nasal sprays. We use the HydraSense one that can be bought anywhere. The kids dread and hate it, and will fight you tooth and nail against it, but it works wonderfully well in clearing a ton of nasal-related issues (nasal drips, runny nose, congestion, phlegm, etc.) I'd even go as far as to say that it seems to shorten the duration of the sickness.
But your kid will hate it, and hate you for forcing it on them, even when they know it themselves that it clears everything up and that they'll feel much better afterwards. To me it's like 10 seconds of suffering in exchange for a full several hours' worth of comfort. But sometimes those little idiots would rather sniffle and feel miserable the whole day instead.