Search and technology giant Google reports its quarterly earnings on Thursday, and Adami believes it "sets up really interesting."
"I think this rallies into the release," he said.
Read MoreGoogle searches can now be downloaded
The company's Class C stock rose 2 percent, above $535 per share, on Monday.
Trader Dan Nathan said he has "been looking for an entry" into U.S.-listed shares of Chinese Internet company Baidu. The stock closed 2 percent higher, around $211 per share.
Pete Najarian is long AMAT, AAPL, BABA, BAC, BMY, BP, CSX, DISCA, FOXA, GE, KKR, KO, LLY, LOCO, MBLY, MRK, PEP and PFE. He is long calls AMGN, BK, DAL, EEM, F, FL, GE, GS, HZNP, KO, MAC, MYL, NEE, NTAP, OC, PBR, PFE, RAD, SYY, TEVA, TSX, UA, UAL, VZ, XLF, XOM and ZIOP.
Steve Grasso is long AAPL, BAC, BTU, EVGN, MJNA, PFE, T, TWTR and GDX. His firm is long IBM, AMZN, NE, OXY, VALE and RIG. His kids own EFG, EFA, EWJ, IJR and SPY.
Dan Nathan is long BBRY June call spread, IWM May put fly, LULU May puts, M May call spread, NKE call spread, QQQ May 108/ 98 put spread, SHAK, T, TWTR, WMT June call spread, XLP May put spread and XLY May puts. Today, he bought XLY May puts.
Guy Adami is long CELG, EXAS and INTC. Guy Adami's wife, Linda Snow, works at Merck.