The backup quarterback spot is up for grabs.
Brock Osweiler, who signed a free agent deal with the Texans on March 10, is the starter.
Behind him, Tom Savage and DeAndre Hopkins will compete for the understudy's role.
Head coach Bill O'Brien said the competition's "going well" after OTAs, minicamp and the first practice of training camp.
"I thought both of those guys practiced well today," O'Brien said. "We split the team up into two groups for certain drills that we do so that we are able to get a bunch of guys reps, obviously including them, Tom and Brandon."
Savage is the most tenured of the trio in this offense, as he's in year number three with O'Brien and the Texans.
Weeden, meanwhile, was successful in a pair of 2015 contests for the Texans. He came off the bench in place of an injured T.J. Yates to guide Houston to it's first-ever victory in Indianapolis. A week later in Nashville, he started and led the Texans to a win over the Titans.
O'Brien liked what he saw Sunday morning, but wasn't ready to say who would be the backup.
"I thought that they executed well," O'Brien said. "There's no timetable on those types of things as far as who's number two, who's three, all those things. We are just into the first day right now. Those guys just need to keep trying to get better every day."
Weeden completed 26-of-32 pass attempts for 305 yards and three touchdowns. He didn't throw an interception, and also ran for a score in the win at Tennessee.
Savage was on the injured reserve in 2015 after suffering a shoulder injury in the preseason finale last August against the Cowboys.
The second day of training camp is Monday at the Houston Methodist Training Center.
The Houston Texans roster in photos.
QB, Kyle Allen, #3 (AP Photo/Brandon Wade)
DL Mario Addison (AP Photo/Butch Dill)
RB, Darius Anderson, #30
DB, Grayland Arnold, #35
TE, Antony Auclair, #83
DL, Ross Blacklock, #90
DL, Thomas Booker, #56 (AP Photo/Young Kwak)
OL, Justin Britt, #68
DB, Terrence Brooks, #8
TE, Pharaoh Brown, #85
RB, Rex Burkhead, #28
WR, Jalen Camp, #17
OL, A.J. Cann, #60 (AP Photo/Phelan M. Ebenhack)
LB, Blake Cashman, #53 (AP Photo/Steve Luciano)
DL, Maliek Collins, #97
WR, Nico Collins, #12
WR, Chris Conley, #18
WR, Brandin Cooks, #13
WR, Davion Davis, #81
LB, Tae Davis, #19
OL Austin Deculus, #76 (AP Photo/Rick Scuteri)
WR, Phillip Dorsett, #2
QB, Jeff Driskel, #6
DL, Michael Dwumfour, #98
K, Ka'imi Fairbairn, #7
RB, Royce Freeman, #26
OL, Carson Green, #62
DL, Jonathan Greenard, #52
WR, DaeSean Hamilton, #5 (AP Photo/Jack Dempsey)
OL, Kenyon Green, #59 (AP Photo/Sam Craft)
DL, Rasheem Green (AP Photo/Daniel Kucin Jr.)
LB, Kamu Grugier-Hill, #51
LB, Christian Harris, #48 (Photo by Kent Gidley)
DL, Demone Harris, #94
WR, Damon Hazelton, #86
OL, Charlie Heck, #67
LB, Neville Hewitt, #43
QB, Kevin Hogan (AP Photo/Stew Milne)
OL, Tytus Howard, #71
DL, Jerry Hughes (AP Photo/Adrian Kraus)
FB, Andy Janovich, #41 (AP Photo/Nick Cammett)
An image from the Aug. 21, 2021 Houston Texans preseason game 2 against the Dallas Cowboys at AT&T Stadium. The Texans won 20-14.
P, Cameron Johnston, #11
TE, Brevin Jordan, #9
DB, Desmond King II, #25
LB, Christian Kirksey, #58
DL, Roy Lopez, #91
RB, Marlon Mack, #2 (AP Photo/Terrance Williams)
OL, Justin McCray, #64
WR, John Metchie III, #88 (AP Photo/Vasha Hunt, File)
QB, Davis Mills, #10
WR, Chris Moore, #15
DB, Jimmy Moreland, #22
OL, Jimmy Morrissey, #79
DB, Eric Murray, #23
DB, Steven Nelson (AP Photo/Matt Rourke)
OL, Cedric Ogbuehi, #77 (AP Photo/Daniel Kucin Jr.)
RB, Dare Ogunbowale, #33 (AP Photo/Phelan M. Ebenhack)
LB, Ogbonnia Okoronkwo (AP Photo/Matt Patterson)
DB, Jonathan Owens, #36
RB, Dameon Pierce, #31 (AP Photo/Phelan M. Ebenhack)
LB, Kevin Pierre-Louis, #57
DB, Jalen Pitre, #42 (AP Photo/Tim Heitman)
FB, Paul Quessenberry, #45
OL, Scott Quessenberry, #54 (AP Photo/Matt Patterson)
TE, Teagan Quitoriano, #84 (AP Photo/Michael Conroy)
LB, Jalen Reeves-Maybin, #34 (AP Photo/Lon Horwedel)
DL, Derek Rivers, #95
DB, Reggie Robinson, #29 (AP Photo/Brandon Wade)
OL, Max Scharping, #74
DB, Tremon Smith, #24
OL, Jordan Steckler, #70
DB, M.J. Stewart, #21 (Winslow Townson/AP Images for Panini)
DB, Derek Stingley Jr., #24 (Photo by: Kourtney Carroll)
DB, Tavierre Thomas, #37
OL, Laremy Tunsil, #78
LB, Garret Wallow, #32
LS, Jon Weeks #46
DB, Isaac Yiadom, #20 (AP)
