sniffle

(noun) the act of breathing heavily through the nose (as when the nose is congested). Synonyms: snuffle, snivel.

(verb) cry or whine with snuffling. Synonyms: snivel, blubber, blub, snuffle. Example: "Stop snivelling--you got yourself into this mess!."

(verb) inhale audibly through the nose. Synonyms: sniff. Example: "The sick student was sniffling in the back row."