Ireland centre Gordon D'Arcy is set to be fit for the World Cup Pool C clash against Italy in Dunedin on Sunday.
D'Arcy missed Sunday's win over Russia with a hamstring injury but he took a full part in Tuesday's training.
Tommy Bowe (calf) and Paul O'Connell (hamstring) took part in light training and will step up their training levels on Wednesday.
Rob Kearney, Keith Earls and Sean O'Brien sat out the session as they recovered from bruises.
Kearney (knee), Earls (leg) and O'Brien (arm) picked up their injuries in the 62-12 victory over the Russians and all three are expected to return to training on Wednesday.
"We're hopeful that everyone will be fit," said Ireland manager Paul McNaughton on Monday.
Declan Kidney reflects on his side's victory over Russia in the Rugby World Cup and looks ahead to the vital clash with Italy
Ireland are in pole position to win Pool C after stunning the Tri-Nations champions Australia.
However, McNaughton said the team's three straight wins had not changed anything in terms of the approach to Sunday's final group match.
"We always knew we had to beat Italy," McNaughton said.
"We're all very pleased to beat Australia but Italy was the game we had to win.
"The team has focused on each match. Nobody is thinking about the draw or anything like that."
Meanwhile, Ireland defence coach Les Kiss has insisted that his team's much-vaunted 'choke tackle' is not the only major weapon at the squad's disposal.
Kiss devised the technique that sees players, usually working in pairs, grab opponent and ball around chest height.
They then work together to prevent the ball from being grounded thus increasing the chances of being awarded the put-in at the scrum.
The tackle has attracted plenty of attention in New Zealand after it was used to such great effect in the 15-6 victory over Australia, but Kiss insists it is just one facet of Ireland's game.
"Other teams have already started copying it. England took it on and were speaking to me about it after the Six Nations," said the Australian.
"Some things you can't keep under cover for too long. Certainly some teams are starting to look at the technique in a certain way.
"Fortunately referees are looking at it in the context of the law and how it can be applied.
"We have a lot of tools in our box to use and we don't just rely on the choke tackle.
"That's the beauty of this side - we can put pressure on in different ways."