The UK's decision to leave the European Union continued to rock the markets on Monday.

All major averages are now lower for the year, and 8 of 10 S&P sectors closed negative on the day.

While investors flee for safety, the "Halftime Report" experts gave their picks for sectors that can withstand the volatility storm.

Joe Terranova believes Toyota Motors will rally once the Bank of Japan addresses the appreciation of the Yen.

"One of the things that will be a result of the Brexit is I think the Bank of Japan will have to address the dramatic appreciation in the value of the Japanese yen."

Steve Weiss is watching domestic-based stocks -- particularly in the health care sector -- while Pete Najarian has his eye on the Telecom sector. While the sector is relatively expensive, Najarian argued that "if your fear is Brexit and what's going to be the aftermath, those [telecom] are some places you're going to get some yield."

"I feel safe in the utilities, but I'm not buying them," added Sarat Sethi.

Trader disclosure: On June 27, 2016 the following stocks and commodities mentioned or intended to be mentioned on CNBC's "Halftime Report" were owned by the "Halftime Report" traders:

Pete Najarian: AAPL, BAC, BMY, CSCO,DIS, DISCA, GE, KMI, KMI.A, KO, LUX, MRK, PEP, PFE, SAVE, VIAB, ZIOP. Long calls: AAL, AKS, AMJ, CHK, CSX, DAL, EGO, EPD, EWZ, GLD, GLW, GSAT, HBAN, HSYKGC, LLY, M, MDLZ, MPC, MT, MU, NLNK, P, SBUX, SLV, SVU, TJX, TMUS, WLL. Long puts: ABB, BID, C, GM, NAV, X

Joe Terranova: Long VRTS

Steve Weiss: Long AAL,SRPT, HZNP. Short AKS, FCX, X

Sarat Sethi: Long AA, AAL, AAPL, ACN, BWA, CSCO, DAL, DGI, DLPH, F, FB, GE, GM, GOOG, HAR, HON, INTC,JWN, LB, M, MSFT, NVDA, QCOM, SJM, UAL, V, WFM, XPO, YHOO, YUM