Verizon Communications Inc. is back in the bond market Monday, shopping debt to investors in what will likely be its largest U.S. sale since its mammoth $49 billion bond deal in September.

The telecommunications giant is looking to refinance up to $8.2 billion in debt that comes due between 2016 and 2018, though the final size of Monday's sale is still to be determined. The sale comes several weeks after Verizon closed on its $130 billion acquisition of Vodafone Group PLC's stake in Verizon Wireless.

Orders for Monday's bond sale topped $15 billion by midmorning, according to people familiar with the matter. The bond deal could ultimately be between $4 billion and $5 billion, these people said.

Verizon's $49 billion deal in September, the largest corporate bond sale on record, helped finance the acquisition of Vodafone's stake. In February, Verizon sold roughly $5.4 billion worth of debt denominated in euros and sterling, also to help finance the acquisition.

In January, Verizon sold $500 million in bonds in the U.S., in a deal geared toward individual investors. Monday's sale is directed at institutional investors, such as pension funds, insurance companies and mutual funds.

In selling bonds Monday, Verizon is taking advantage of interest rates that remain relatively low, and is likely looking to reduce interest costs on its outstanding debt, one investor said. Analysts still expect interest rates to rise later this year, but for now, benchmark 10-year Treasurys are yielding about 2.79%, down from about 3% at the end of 2013.

Bond yields and prices move in opposite directions.

The Verizon sale comes after investment-grade companies sold roughly $48 billion in debt last week, the second-busiest week on record by value and behind only the week in September when Verizon sold its $49 billion bond.

Verizon is looking to sell the bonds Monday in five parts, with fixed-rate debt maturing in 5.25, seven, 10 and 20 years, and a floating rate portion that will also mature in 5.25 years. The 10-year portion could yield around 1.55 to 1.60 percentage points more than comparable Treasurys.

That would be a better price for Verizon than where it sold 10-year bonds, maturing in 2023, in September. At that time, the debt was priced to yield 2.25 percentage points more than Treasurys. But Verizon had to offer more yield on the debt in September because of the sheer size of the sale. High-grade corporate bond prices have also rallied since then.

The 2023 bonds recently traded to yield 1.35 percentage points more than Treasurys, according to MarketAxess.

Katy Burne contributed to this article.

Write to Mike Cherney at mike.cherney@wsj.com

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