The "Halftime Report" traders looked the companies getting ready to report earnings.
Financial stocks, particularly JPMorgan Chase, which reports after Tuesday's closing bell, could see solid gains, Najarian said.
Stephanie Link said she is already involved in a lot of the bank names and liked HMOs.
Trader disclosure: On October 13, 2015 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 is long AAPL, AMAT, BAC, BMY, BP, CSX, DIS, DISCA, DKS, FOXA, GE, KKR, KO, MRK, PEP, PFE, PHM he is long calls ABX, AGN, BEE, DAL, ETFC, F, FL, GPRO, JOY, LM, LUK, MAS, MPEL, PBR, SWFT, UAL, VALE, VZ, ZIOP, he is long puts DISH, EWW, FCX, MRO, TNK, TSLA, X. Stephanie Link is long AAPL, BAC, BRCM, CHKP, CRM, CXO, DAL, DD, DG, DLPH, EL, GE, GILD, GOOG, GOOGL, HPQ, INTC, JPM, LEA, LLY, LOW, LPX, LULU, MCD, MS, PEP, PPG, PRU, RHT, SBUX, SLB, SWK, UNH, V, VFC, WFC. Joe Terranova is long VRTS. Dan Greenhaus: No disclosures.