Packaged lunch meats can be stored in the refrigerator for 2 weeks before opening. After opening a package of lunch meats or buying sliced lunch meats at a deli, you can refrigerate them for 3 to 5 days.Keep your refrigerator at 40 ° F / 4.4 °C or less).These meats can also be frozen for 1 to 2 months for best quality.fter opening a package of lunch meats or buying sliced lunch meats at a deli, you can refrigerate them for 3 to 5 days. Keep your refrigerator at 40 ° F / 4.4 °C or less). These meats can also be frozen for 1 to 2 months for best quality.