Fifth seed Casper Ruud secured his place in the last 16 of the Mallorca Championships with a straight sets win over Gilles Simon on Monday.
The 22-year-old claimed a 6-4 7-6 (7-4) victory to set up a meeting with Tennys Sandgren in the next round.
Following Ruud onto Centre Court, the American beat Spain's Jaume Munar 7-6 (7-3) 7-5 in just over two hours.
Sixth seed Karen Khachanov is also safely through, although he surrendered a set in beating French qualifier Lucas Pouille 7-6 (9-7) 3-6 6-4.
But Dusan Lajovic, seeded eighth, was not quite as fortunate.
Lajovic, ranked 41st in the world, was beaten 6-4 7-6 (7-2) by Slovakian qualifier Lukas Klein (ranked 256).
Feliciano Lopez came out on top of battle of Spaniards in the round of 32, beating Nicola Kuhn 6-1 7-6 (7-4).
Their compatriot Roberto Carballes Baena is in with a chance of joining them on Tuesday after seeing his clash with Sam Querrey paused due to light with both players having taken a set.
Elsewhere, Corentin Moutet beat Lloyd Harris to set up a meeting with top seed Daniil Medvedev, while Jiri Vesely and Stefano Travaglia also progressed.
Monday's other scheduled ATP event in Eastbourne saw play cancelled due to rain, with the scheduled match between Jo-Wilfried Tsonga and Egor Gerasimov pushed back as a result.