In a quiet holiday week, the Mets are getting a better idea about the free-agent bullpen landscape.

One proven reliever is imperative to augment Jeurys Familia, AJ Ramos and Jerry Blevins in the late innings next season. Ideally, general manager Sandy Alderson — who has spoken about his desire to limit many of his starting pitchers’ exposure to two times through the batting order — would add two bullpen arms.

The Mets, according to industry sources, are very interested in Bryan Shaw, who spent the last five seasons under new manager Mickey Callaway’s guidance with the Indians. But team officials are also keeping tabs on Joe Smith, Mike Minor and Addison Reed, among others.

Shaw, 30, is a workhorse — he led the AL in appearances three of the last four seasons — and would give the Mets flexibility in the seventh and eighth innings. The right-hander went 4-6 with a 3.52 ERA and 1.213 WHIP in 79 appearances last season for the Indians, where Callaway was the pitching coach.

Smith, who previously pitched for the Mets, is highly regarded by team brass and would probably require a lesser commitment in terms of dollars and contract length. But there is some belief the veteran righty, an Ohio native, might prefer to remain with the Indians, even for less than market value, to stay anchored to his roots.

In 59 appearances last season, split between the Blue Jays and Indians, the 33-year-old Smith went 3-0 with a 3.33 ERA and 1.037 WHIP. The Mets previously had interest in Smith at the trade deadline in 2016.