Suddenly Houston is becoming a hot stop on baseball’s free agent tour.

Coming off their best season in four years, the Astros have made more than a few big moves since they last played a game.

It seems they may be poised to make a few more.

On the same day they traded outfielder Dexter Fowler to the Chicago Cubs for a pair of major leaguers, the Astros played host to one free agent and was close to signing another.

Right-hander Ryan Vogelsong, who is reported to be in serious discussions with the Astros, was in town Monday. He could sign a deal this week.

Vogelsong was 8-13 with the World Champion San Francisco Giants last year, posting a 4.00 ERA in his 32 starts.

The 10-year major leaguer has a career record of 49-57 with a 4.42 ERA.

Tuesday the Astros filled the hole created by Fowler’s exit by signing free-agent outfielder Colby Rasmus to a one-year deal. Rasmus was drafted by the Cardinals when now Houston general manager Jeff Luhnow was the director of scouting in St. Louis.

Reports have the deal worth close to $8 million.

Rasmus has spent the last four years in Toronto and is the same age as Fowler.

“I think he’s going to benefit from being in our ballpark and on this team,” Luhnow told MLB.com. “It’s a good opportunity for us to bring him in and let him add to what’s a better and better offensive team with every move we make.”

Rasmus is a career .246 hitter with 116 homers and 352 RBIs in six seasons, hitting .225 with 18 homers and 40 RBIs last year.

A first-round pick by the St. Louis in the 2005 amateur draft, Rasmus hit 23 homers in 2010 with the Cardinals and 2012 with Toronto.

“I’ve always liked playing against the Astros and the way they’ve handled themselves,” Rasmus said. “I played with Lance Berkman, who was loyal in his time here. That was something that was on my mind, hearing him talk about it.”

The Astros picked up third baseman Luis Valbuena and right-hander Dan Straily from the Cubs and traded for outfielder Evan Gattis last week from Atlanta.

Also in the offseason they signed relievers Pat Neshek and Luke Gregerson and shortstop Jed Lowrie, showing they are trying to win this year.

“The Astros, in my opinion, are going to have a winning record this year,” general manager Jeff Luhnow told MLB Network earlier. “I’ll go on record as saying that. I believe this is a winning team, and I think this is the beginning of many years of winning teams.”

The Astros, who improved by 19 games last year when they went 70-92, haven’t had a winning season since going 86-75 in 2008 ­— three years after they earned their only World Series berth.

“One of our goals this year was to improve the lineup as well as the bullpen,” Luhnow said.

He added that while he is happy with the team, more moves could be made if the right players come along.

The Astros are playing in a division that has some big-time spenders in the Angels and Rangers. Oakland and Seattle have also made big moves the last two seasons.

In this July 27

Kathy Willens