Markets remain shaky this week, and CNBC "Fast Money" traders looked for stocks that provide long-term stability.

U.S. markets closed slightly lower Wednesday in light volume, continuing a run of up-and-down trading in recent weeks. In that environment, trader Pete Najarian looked to Gilead Sciences, which has fallen recently with the wider biotech sector amid drug pricing concerns.

He pointed to a valuation at around 11 times earnings and "great dividend yield," as well as promising revenue growth.

Trader David Seaburg also looked to buy into a beaten down sector moving forward. He highlighted Exxon Mobil, which has fallen more than 20 percent this year amid sustained lower oil prices.

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Trader Steve Grasso, on the other hand, believed high-flier Home Depot made a solid play, as it seems stable regardless of the strength of the overall housing market.

Lockheed Martin could also hold upside moving forward because of its dividend yield and "unbelievable balance sheet," trader Guy Adami added.

Disclosures:

Pete Najarian

Long AAPL, AMAT, BAC, BMY, BP, CSX, DISCA, DKS, FOXA, GE, KKR, KO, LLY, MRK, PEP, PFE, he is long calls AA, AAL, BEE, BMY, DAL, FL, MPEL, PFE, SWFT, UAL, XLF, XOM, ZIOP, he is long puts DISH, FCX

Steve Grasso

Steve is long AAPL, BA, BAC, CC, DD, DIS, DECK, EVGN, FIT, KBH, MJNA, MU, PFE, PHM, T, TWTR, GDX, firm is long AMZN His kids own EFA, EFG, EWJ, IJR, SPY.

David Seaburg

Opinions expressed by David Seaburg are solely his own and do not reflect the views and opinions of Cowen Group, Inc

Guy Adami

Guy Adami is long CELG, EXAS, INTC, Guy Adami's wife, Linda Snow, works at Merck.