Yes, add 1 µl of Thermolabile Exonuclease I to first round of PCR products (up to 20 µl) and incubate the reaction at 37°C for 10 minutes, followed by 80^oC for 1 min to inactivate the enzyme. New sets of primers can then be added followed by a second round of PCR to reduce the nonspecific PCR amplicons.