Wightman said before the Olympics that injuries would not affect his ability to win a medal.
“You don’t lose the qualities you had,” he said. “If you’re not out there performing and showing what qualities you have, people forget about it.
“It’s a nicer thing for me to be able to come in under the radar and not have this pressure of everyone expecting me to go out and win or be the best in the world.”
Giles, 30, joins Max Burgin and Ben Pattison as Britain’s representatives in the 800m heats on Wednesday.
The final takes place on 10 August.