At Bamberg 1968, he won with 12/15, two points ahead of World Champion Tigran Petrosian. He was 2nd at Luhacovice 1969 with 10½/15, behind Viktor Korchnoi. At Tallinn 1969, he shared 2nd–3rd places on 9/13 as Stein won. At Wijk aan Zee 1969, he shared 3rd–4th places on 10½/15, as Geller and Botvinnik won. He won Budapest 1970 with 10/15, ahead of Laszlo Szabo. Also in 1970, Keres's 3:1 win over Ivkov on the tenth board gave victory to the Soviet team in the match vs Rest of the World. He shared 1st–2nd at Tallinn 1971 with Mikhail Tal on 11½/15. He shared 2nd–3rd at Pärnu 1971, on 9½/13, as Stein won. He shared 2nd–4th at Amsterdam 1971 with 9/13, as Smyslov won. He shared 3rd–5th places at Sarajevo 1972 on 9½/15, as Szabo won. He placed 5th at San Antonio 1972 on 9½/15, as Petrosian, Lajos Portisch, and Anatoly Karpov won.