The Irish grocery market grew by 0.1% in the 12 weeks to October 29 - the first increase since the Easter boost in April.
New supermarket market figures from Kantar Worldpanel show that grocery inflation stands at 4.1% for the 12 week period.
This is up from 2.6% in the previous 12 week period and second highest since August 2011.
Tesco's market share grew from 27.7% to 28.3% in the 12 weeks under review as it continues to be the market leader.
But Aldi posted growth of over 30% and improved its share of the market from 4.7% last year to a new high for the group of 6.1%.
Lidl's market share rose to 6.5% from 6.3%, but Dunnes' share stood at 22.4% compared to 23.9% the same time last year. Superquinn slipped to 5.4% from 5.6% in the 12 weeks to October.
''While the growth seen this month is a good sign for the grocery market, many grocery retailers are still struggling'', commented David Berry, commercial director at Kantar Worldpanel.
He said that shoppers are continuing to watch their purse strings, buying fewer groceries per trip but shopping more often. ''They are also spreading their spend across a broad spectrum of stores, meaning that it is a challenge for the grocers to drive sales growth,'' Mr Berry added.