Manningham suffered a concussion last week against the Rams and did not play on Sunday against the Philadelphia Eagles.
Although he was listed as a limited participant, Manningham said he did "everything."
"I'm good," Manningham said. "I went out there and practiced the individual. Did team. I did everything. Feel better."
Umenyiora practiced on a limited basis for the first time since undergoing arthroscopic surgery on his knee on Aug. 19.
"There will be [limitations] but I don't think he thinks of it as any kind of limitation," coach Tom Coughlin said. "I'm hoping we can have one good day and then no repercussions the next day and that will help us understand what we got. I would like Osi to have some practice time. He definitely needs to spend some time on the field with his teammates and put him back in those situations."
Defensive end Justin Tuck did not practice due to pain in his neck and a strained groin. But Coughlin sounded optimistic about Tuck for this week.
"He won't practice but he has made good progress both days, and we are very encouraged by that part," Coughlin said.
As one receiver returned to practice, another one went down. Brandon Stokley left practice with a strained quadriceps.
Coughlin also said that rookie cornerback Prince Amukamara still is "a ways" away from returning to practice. Amukamara has been out since early in training camp with a broken foot.
Manningham said he experienced sensitivity to light last week but assured reporters on Monday that he will practice this week and play on Sunday against the Arizona Cardinals.
"I feel better than I felt before I went out for the walkthrough last week," Manningham said. "Sensitivity to light ... I don't have none. I'm good."
In his absence, Victor Cruz shined against the Eagles, finishing with three receptions for 110 yards and two touchdowns.
Ohm Youngmisuk covers the Giants for ESPNNewYork.com.