By Saumya Vaishampayan 

U.S. stock futures advanced Monday after the latest package of proposals from Greece to its creditors fueled hopes that a bailout deal could be reached.

S&P 500 futures gained 16 points, or 0.8%, to 2114. E-mini Dow futures jumped 128 points, or 0.7%, to 18039, and e-mini Nasdaq-100 futures rose 37 points, or 0.8%, to 4537. Changes in stock futures don't always accurately predict moves in the stock market after the opening bell.

The Wall Street Journal reported that the Greek government's latest plan makes a potentially major concession on cutting deficits in its pension system. The plan was formally submitted to creditors Monday morning and could be a big step toward ending a monthslong deadlock that has spurred talk of a potential Greek exit from the eurozone. Still, eurozone leaders cautioned that an immediate breakthrough was unlikely.

European stocks rallied, buoyed by optimism that Greece will eventually reach a deal with creditors. Germany's DAX rallied 2.8% and France's CAC-40 jumped 2.7%. Greek stocks surged more than 6%.

Asian stocks also rose, with Hong Kong's Hang Seng Index adding 1.2%.

The magnitude of market moves in Europe and the U.S. "speak to what the overhang has been over the last month or so as the negotiations continued to deteriorate," said Art Hogan, chief market strategist at brokerage firm Wunderlich Securities. "The contemplation of a messy Greek default and exit from the eurozone and fears of contagion into peripheral countries...may well get moved aside," he said.

Concerns about Greece's financial situation, as well as worries about U.S. corporate earnings, elevated stock valuations and an eventual increase in interest rates have all collided to keep a lid on stock gains this year. The S&P 500 has added 2.5% in 2015, through Friday's close, less than the index's 6% gain in 2014 through June 19.

Investors will receive an update on the housing market Monday. Existing home sales are expected to increase 4.2% in May to an annual rate of 5.25 million, according to economists surveyed by The Wall Street Journal.

In commodity markets, gold futures slipped 0.7% to $1193.40 an ounce. Crude-oil futures added 0.7% to $60.03 a barrel.

Treasury prices fell, pushing the 10-year yield up to 2.331% from 2.268% on Friday.

In corporate news, natural-gas pipeline giant Williams Cos. has rejected an unsolicited buyout offer from Energy Transfer Equity L.P. worth $48 billion but is open to other offers. Williams Cos. shares jumped 29%, while those of Energy Transfer Equity rose 2.4% in premarket trading.

Write to Saumya Vaishampayan at saumya.vaishampayan@wsj.com