The phrase "during that weekend" is correct and usable in written English.
You can use it to refer to a specific weekend, usually one that has recently passed or one that is upcoming. For example: "I was busy during that weekend preparing for my presentation the following week."
How do you find that bit of time somebody else might not find during that weekend?
It was during that weekend, Skipper said, that Patrick told him NBC was wooing him.
According to industry lore, Mr. Brin and Mr. Page, both highly opinionated people, argued often during that weekend, though that sparring soon ended.
Also during that weekend, the state goat show was going on at the fairgrounds, so the 4-H Teen Council group had the food booth open, so on Sunday I helped out with that.
Each nurse assigns a number to each weekend (i.e., Sundays) based on the nurse' interest to be off during that weekend.
Red Robot Labs launched Life Is Crime at Penny Arcade Expo (PAX) in Seattle and they note that the convention center where the show was held saw some 20,000 virtual crimes committed in the game during that weekend alone.
"Some couples are focused on their careers during the week, so that weekend time together has meaning," she said.
More than 30 Israeli soldiers were killed during the fighting that weekend to seize ground that the army then abandoned Monday morning when the cease-fire took effect.
He was passionate, tender-hearted and loved deeply, his father would recall during a memorial service that weekend.
At one point during his exchanges with Tam that weekend, Ravi wrote, "Dude I hate poor people".
"My understanding is that they did not come in through the front door, that's because security did check during the weekend that nobody had come in through the front door and found it to be locked shut".
