Red spots, which can sometimes be filled with pus, are also common in rosacea, while the thickening of the skin around the nose is a less common symptom, seen mainly in male patients.

runny nose and red, watery eyes. Tiny white spots may appear inside the mouth two to three days after symptoms begin. Flat, red spots appear around three to five days after symptoms begin ...

“Perioral dermatitis is an inflammatory skin condition that presents as several small spots or tiny blisters on a red background ... of small spots around the mouth, nose and eyes.