"The PMIs across the globe will start the week off with pretty solid impressions of the global economy; Sunday night is China, then the euro zone, then the U.S.," said Hogan.
A strong preliminary March PMI reading for the U.S. would "bode really well for the market as it would validate the U.S. economy despite the weather," said Liu.
A measure of consumer confidence in March comes Tuesday, followed on Wednesday by orders for U.S. durable goods in February. But both data points could be viewed as tainted by the harsh winter across much of the nation.
(Read more: Stocks slip on pre-weekend caution)
"My opinion is the underlying growth trajectory of the U.S. economy is still really strong, but we spent the first three months debating whether it was the weather or a real slowdown," said Liu, who believes the weather was a factor: "If you can't even get outside, it's hard to buy a car."
"Consumer confidence will be less important, as it is still impacted by the contemplation of what the last two months have looked like, and durable goods for February also falls in the weather belt," said Hogan.
Thursday brings weekly jobless claims and an index of pending home sales, followed by data on consumer spending and income on Friday.
(Read more: Stocks weaken into market close on reweighting)
Beyond a daily offering of economic reports, the week also brings some corporate earnings, speeches by five Fed officials and news coverage of President Barack Obama's travels through Europe.
"We'll probably listen to Fed speakers, but I think economic data will take the front row here, in terms of attention," said Hogan.
The second focus point for Wall Street "might be what's going on in Russia and Ukraine, as it's not entirely over," Hogan added.
The week follows another weekly advance on Wall Street, with the S&P 500 hitting another intraday record on Friday before clearing gains as investors turned cautious ahead of the weekend.
8:30 a.m.: Chicago Fed national activity index
9:00 a.m.: Fed's Stein speaks
9:45 a.m.: PMI manufacturing index flash for March
1:45 p.m.: Fed's Fisher speaks
Earnings: Carnival, HD Supply Holdings; McCormick & Co., Walgreen, PVH, Five Below, Steelcase
9:00 a.m.: FHFA home prices for January
9:00 a.m.: S&P Case-Shiller home prices for January
10 a.m.: New home sales for February
10 a.m.: Consumer confidence for March
10: a.m.: Richmond Fed manufacturing index
1 p.m.: Two-year note auction
4 p.m.: Fed's Lockhart speaks
7 p.m.: Fed's Plosser speaks
2 a.m.: Fed's Bullard speaks
7 a.m.: Mortgage applications
8:30 a.m.: Durable goods orders for February
9:45 a.m.: PMI services flash
10:30 a.m.: Oil inventories
1 p.m.: Five-year note auction
Earnings: Accenture, Lululemon Athletica, Signet Jewelers, Commercial Metals, GameStop, Leidos Holdings, Winnebago Industries, Worthington Industries, Red Hat, Oxford Industries, Restoration Hardware Holdings, Voxeljet
8:30 a.m.: GDP revision Q4
8:30 a.m.: Weekly jobless claims
8:30 a.m.: Fed's Pianalto speaks
10 a.m.: Pending home sales index for February
10:30 a.m.: Natural gas inventories
11 a.m.: Kansas City Fed manufacturing index
1 p.m.: Seven-year note auction
4 p.m. Fed balance sheet/money supply
9:30 p.m.: Fed's Evans speaks
8:30 a.m.: Personal income and consumer spending for February
9:55 a.m.: University of Michigan/Reuters consumer sentiment for March
1:15 p.m.: Fed's George speaks
—By CNBC's Kate Gibson.