On Friday, Shane Long's first-half goal looked set to give the hosts victory before Luuk de Jong's late equaliser.
"I was very pleased - I thought we did fine," said O'Neill.
"The Dutch had good possession of the ball (early on), which was actually very good for us because we had to play without it for a little while."
He added: "Then we scored the goal, which obviously gave us a big lift. I thought we played fine, we kept possession of the ball reasonably well after that."
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However, O'Neill rued de Jong's 85th-minute equaliser as the striker punished a spot of ball-watching from central defender Shane Duffy although the manager described the Blackburn man's overall performance in only his third cap as "excellent".
Bournemouth midfielder Harry Arter appeared to do his chances of inclusion in O'Neill's Euro 2016 squad no harm as he was named man of the match after winning only his second cap.
"I think Harry did well, young (Stephen) Quinn did well also," added the Republic boss.
Goalscorer Long was again bothered by a cut on his knee in Friday's game and O'Neill hinted that the Southampton striker may be rested in the final warm-up game against Belarus in Cork on Tuesday.
Long's likely absence could see Republic record goalscorer Robbie Keane returning to the side for his 144th appearance.

Cassie Sainsbury, 22, was stopped at an airport in Bogota on 12 April. She could face up to 25 years in jail, according to her sister, Khala.
The drugs were hidden inside 15 pairs of headphones that Ms Sainsbury bought during a holiday, the family said.
Ms Sainsbury's family claims she is innocent of drug trafficking charges.
Australia's Department of Foreign Affairs and Trade confirmed it was providing consular assistance, but did not give further details.
The personal trainer, from Adelaide, had just finished a working holiday when she was arrested at El Dorado International Airport, her family said.
Ms Sainsbury's mother, Lisa Evans, claimed her daughter was the "naive" victim of a Colombian man she had befriended during her trip.
"The day of her departure, he came up to her hotel, gave her a package that was wrapped in black plastic and she took it and put it in her luggage," she told Australian radio station KIIS FM.
"And this is where the naive bit comes in, she didn't even rip it open to make sure there were headphones in there."
They said she was being held at El Buen Pastor, Colombia's largest women's prison.
The family has started an online campaign to help cover legal fees, raising A$2,600 (Â£1,500; $2,000) in four days.
Penalties for possession, use, or trafficking of illegal drugs in Colombia are severe and offenders can expect long prison sentences under harsh conditions.
According to Ms Evans, Ms Sainsbury's lawyer has recommended a guilty plea to avoid a maximum sentence up to 25 years in jail.
If Ms Sainsbury pleads guilty, she would face a six-year sentence, which could be reduced further if she gives information about the man who supplied the headphones, Ms Evans said.
Colombia is one of the world's largest producers of coca leaves and cocaine.
Highly pure cocaine costs more than A$350 per gram in Australia, making it proportionally the most lucrative market in the world, according to the Global Drug Survey 2015,
According to a government website, Colombia's official working holiday visa may only be obtained by citizens of Chile, France, Mexico and Peru.
Republic of Ireland boss Martin O'Neill was happy with his team's display in the 1-1 draw against the Netherlands in the Euro 2016 warm-up friendly.
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An Australian woman has been arrested in Colombia after being found with 5.8kg (12lb 13oz) of cocaine in her luggage, her family says.