Pompeo's comments come after sources told CNBC that U.S.-China trade negotiations are in the "final stages" and that a summit in Mar-a-Lago later this month could close the deal.
"It seems that progress is being made toward a trade agreement between the two countries," said Katie Nixon, CIO at Northern Trust Wealth Management, in a note. "A deal (even a deal to make a deal) should be good news and will lower the probability that the risk case of an escalation of tensions manifests. For companies, we have heard this issue raised on numerous earnings conference calls as a source of uncertainty and potentially leading to a more cautious outlook, so indications of any resolution will be welcomed."
U.S. investors have been closely watching negotiations on trade with China as they assess how a deal —or lack thereof — could impact corporate profits.
However, equities fell on Monday amid worries that a deal was fully priced into the market. The decline pushed the S&P 500 back below the key 2,800 level.
"The rally from the 12/26/18 low is among the strongest starts to the year since 1987. The past two months' straight-line move, however, has seen bearish sentiment fall to its lowest since January 2018, just as the S&P 500 finds resistance at 2,813," Julian Emanuel, chief equity and derivative strategist at BTIG, wrote in a note. "Monday's reaction to this overhead level suggests that stocks will likely spend time 'Reading Between the Lines' of resistance (2,813) and support (2,750 and 2,600) before heading to BTIG's year-end price target of 3,000."
On Tuesday, investors cheered stronger-than-expected quarterly results out of retailer Target, sending its shares up around 5 percent. The company posted earnings per share of $1.53 and revenue of $22.977 billion. Both numbers topped analyst estimates from Refinitiv.
Target's same-store sales, a key metric watched by Wall Street, rose 4.6 percent. The company also said its digital sales grew by more than 25 percent.
Kohl's shares also rose 7.3 percent on better-than-forecast quarterly earnings, which were boosted by strong sales during the holidays. Same-store sales at Kohl's climbed 1 percent in the previous quarter, well above a 0.3 percent estimate from Refinitiv.
Shares of Willis Towers Watson surged more than 5 percent after Aon confirmed it was in the "early stages" of considering an all-share combination with the company.
—CNBC's Silvia Amaro and Reuters contributed to this report.