Yes to heat, no to grease
There's a fine line between skin care that makes it look fresh and refreshed, and skin that makes it look and feel oily. Sunscreen is one of the ranged products in this line. But since you should never fail to protect your skin from the sun, finding the right sunscreen is important.
If you don't want to commit to a formula that you're afraid will make your makeup run, try choosing an oil-free formula to avoid the greasiness that's amplified by the heat, especially in the hot summer months. From bottles with pumps to tubes and sunscreens with moisturizing properties, Frezyderm, Bioderma, La Roche Posay, Vichy, Galenic, Uriage, Avene, Korres etc. will surprise you with their options