There are mosquitoes around in Punta Cana. If you are the type who seems to attract bites or if you react strongly to bites, take the precaution of bringing some mosquito repellent with you as well as some cream to treat the bites. If you are worried about Malaria, consult a medical professional in good time in your own country and do not take the word of others on this forum as to whether or not you are likely to be bitten. It is possible that you could be bitten by a mosquito carrying a disease such as Malaria or Dengue Fever and more recently Chikungunya.