The discussion came after Tesco chief executive Philip Clarke announced that the company would source from British producers "where it is reasonable to do so" at the NFU Conference last week.
Welcoming the announcement from Tesco, NFU presidemnt Peter Kendall said: "We recognise the significance of Tesco’s commitments and will be working closely with its team to ensure that the retailer’s sentiments and latest commitments deliver real value to the sustainability of the UK farming industry.
"What we want to see is measurable changes on sourcing, longer-term commitments and improved relationships. The meeting was a first step in working towards these goals and it showed clear signs that Tesco wants to build partnerships. There is a lot of work to be done and the NFU will be working to help Tesco deliver," he added.