Close was recalled to the England Test squad in 1963, and played his first full series of five matches, against the West Indies. His innings in the second Test at Lord's remains his best known. When England were pressing for a last-day victory, Close took the battle to the fastest West Indian fast bowlers, Wes Hall and Charlie Griffith, daring to advance down the wicket to them. This was before body protection and helmets were in use, and time and again the ball struck Close firmly on his body. But he persevered. With no other England player but Ken Barrington scoring above 20, Close's innings of 70 saved the game for England, and came near to winning it. Set 234 to win, England ended on 228 for 9, with Colin Cowdrey famously coming in to bat (for two balls at the non-striker's end) with his broken arm in plaster.