Wal-Mart Stores is making strides across the Atlantic, as its Asda division is taking more of the grocery market share in the United Kingdom from rival Tesco.

According to a report from research firm Kantar Worldpanel, for the 12-week period ended March 18, Asda's share of the market grew to 17.9% on top of a year-over-year growth rate of 7.8%. By comparison, Tesco's growth rate of 2.7% lags behind the overall grocery market, which is growing at 4%.