Two seeded players were knocked out of the men's event at the grass-court Topshelf Open and a third was struggling before rain caused a suspension of play on Monday.
Sixth-seeded Marcos Baghdatis was a set down to Calos Berlocq and trailing 2-1 in the second when the covers came out at the traditional Wimbledon warm-up tournament.
Earlier, seventh-seeded Victor Hanescu lost 6-4, 6-3 to Guillermo Garcia-Lopez and Andrey Kuznetsov beat eighth-seeded Daniel Gimeno-Traver 7-6 (4), 6-3.
In the women's event, third-seeded Carla Suarez Navarro advanced with a straightforward 6-3, 6-2 win over Johanna Larsson and 19-year-old Lauren Davis of the United States ousted Andrea Hlavackova 6-3, 6-4.
Second-seeded Dominika Cibulkova was 2-1 up in the third set of her match against Lourdes Dominguez Lino when play was halted.