Deep, or blind, pimples can sometimes by removed by placing ice or a cold compress to the area for 10 minutes at a time, with five minute breaks in between. This should be done for an hour or more. This method is most effective when the pimple is still forming.
Adding ice to a blind pimple as it forms works by reducing blood flow to the area and preventing inflammation. As soon as you feel soreness and notice a bit of redness and swelling, start adding the ice to the entire area. Once the pimple has formed, the opposite approach is more effective. Place a hot compress to the top of the pimple and let sit for several minutes at a time. This helps draw pus to the surface, so it can be more easily removed.
If the pimple has come to a head and isn't too tender to touch, it can be squeezed gently. This should be done with caution. If the pimple doesn't rupture after one or two quick squeezes, it may be best to leave it alone and try again later. Over-the-counter acne treatments can be used to dry out pimples, but in many cases, these creams can be overly drying to the surrounding skin as well.