Phillips signed a training camp contract with the Rockets on Friday, Paul Garcia of The Spot Up Shot reports.
Tshiebwe agreed to a contract with the Rockets on Friday.
Tate agreed to a one-year, $3.07 million contract with the Rockets on Thursday, Michael Scotto of HoopsHype.com reports.
The Rockets signed Tate to a contract Thursday, per Adam Spolane of Sports Radio 610 Houston.
Thornton recorded eight points (2-12 FG, 2-7 3Pt, 1-1 FT), eight rebounds, seven assists and one steal over 31 minutes during Saturday's 101-90 Summer League loss to the Grizzlies.
Copeland finished Saturday's 101-90 Summer League loss to Memphis with 24 points (9-13 FG, 2-4 3Pt, 2-2 FT), three assists, two rebounds and two steals over 27 minutes.
Ament amassed 12 points (5-10 FG, 2-3 3Pt, 0-3 FT), seven rebounds, three assists, one steal and one block across 27 minutes in Saturday's 96-94 Summer League win over Philadelphia.
Jakucionis (rest) didn't play in Saturday's 96-94 Summer League win over Philadelphia.
Ryan (rest) didn't play in Saturday's 96-94 Summer League win over the 76ers.
Burries supplied 27 points (9-18 FG, 0-4 3Pt, 5-7 FT), five assists, four rebounds, one steal and one block across 28 minutes in Saturday's 96-94 Summer League win over the 76ers.
