The two are said to have spoken about Everton forward Richarlison, among other matters.
Spurs have serious interest in the Brazilian forward, and hope to secure his signature this summer.
Everton are seeking £50million for Richarlison as they look to reinvest in their squad ahead of the new season.
This week, former BBC journalist Jon Sopel stated that he saw the two chairmen having dinner at a restaurant in Mayfair on Monday night.
Sopel tweeted: "If Richarlison does come to @SpursOfficial suspect history will show agreement was reached last night. Bill Kenwright and Daniel Levy were having dinner together in Scott's - and I was at table next to them…"