Walcott, who joined Everton from Arsenal for about 20 million pounds in the current transfer window, converted Gylfi Sigurdsson's low cross from close range after 26 minutes and volleyed home before halftime to double the lead.
Jamie Vardy reduced the arrears from the penalty spot deep into the second half, following a foul by Wayne Rooney on Wilfred Ndidi, to set up a nervy finale for the hosts in which Leicester's Kelechi Iheanacho twice hit the woodwork.
Everton, who flirted with relegation danger earlier in the season, are ninth in the table while Leicester are three points above Sam Allardyce's side in seventh.
(Reporting by Toby Davis, editing by Ed Osmond)
Share
