The majority of voters in Spain are against having another election to end the existing political stalemate, wanting instead that parties agree on a coalition government.
The December election gave the ruling centre-right People's Party (PP) the most seats but well short of a parliamentary majority.
The Socialists (PSOE) took second place with leftist newcomer Podemos coming third, while centrist upstart Ciudadanos placed fourth.
The elections broke the 40-year dominance of the PP and PSOE and meant that at least three parties had to form an alliance.
A monthly opinion survey indicated that 61% want to see such an agreement while 33% favoured a new election.
The survey also indicated that the results of a new election would be only marginally different, resulting in the same impasse.
King Felipe will meet party leaders during the week in an attempt to broker agreement.
