The phrase "after the first practice" is correct and usable in written English.
It can be used to refer to a time or event that occurs following the initial practice session of a particular activity, such as sports or rehearsals.
Example: "We will review our performance after the first practice to identify areas for improvement."
Alternatives: "following the initial practice" or "subsequent to the first practice".
"Well, obviously, he can run," Coughlin said after the first practice.
"I didn't know nothing about it," Burress told reporters after the first practice of the Giants' three-day minicamp.
Crowder, a six-year starter for Miami, was released Friday after the first practice of training camp to pave the way for Burnett's acquisition.
They did appear in Canada, but were not used after the first practice session because the weather did not allow teams to gather sufficient information on them.
Tebow, the Patriots' third-string quarterback, spoke briefly about Hernandez, his former teammate in college at Florida, after the first practice of training camp.
Braun, the Milwaukee Brewers slugger, "looked at me in the eye on multiple occasions and repeatedly denied the allegations, said they weren't true," Rodgers said after the first practice of training camp.
Senna had crashed out after seven laps in the first practice session.
The BT49's racing career got off to an unsettled start when Brabham's lead driver, Niki Lauda, abruptly quit the sport after 10 laps of the first practice session at the penultimate race of the 1979 season, the Canadian Grand Prix.
And before the first practice after the loss, Tribou spoke to his charges.
In the first practice after the Memphis meltdown, Scott conducted relay races and jump-shot drills, getting the players to laugh and compete at the same time.
Ron Calcagni, who left his job as an assistant coach at Oklahoma in the middle of what could be a national championship season to become the Hitmen's offensive coordinator, liked the way Elias peppered him with questions after the first team meeting on Monday, and he liked the way Elias responded after being chewed out in the first practice this morning.
