Do you know what caused the broken capillaries? For instance, trauma to your skin such as popping pimples and picking at pores or UV damage?
I would say try using soothing toners, serums, moisturizers, or sheet masks that have calming ingredients and help with redness and irritation for sensitive skin. Maybe also try applying cold compress to the affected area (it’s usually my go-to when it comes to reducing swelling or inflammation).
Once it’s healed, try avoiding what caused the broken capillaries to begin with. Maybe if you have extra sensitive skin, then use gentle products and not over exfoliate. Also use sunscreen to protect your skin. If you get pimples or large pores, avoid picking at it.
I am not a dermatologist so I am not sure if any of this will help, just suggestions! If it doesn’t heal or get worse, I would suggest seeing a dermatologist for professional help! 🧡