Italy failed to make any progress on Thursday, as parties stuck to their previous, apparently irreconcilable positions.
Five Star Movement (M5S) leader Luigi Di Maio and Matteo Salvini, head of the nationalist League party, met Italian President Sergio Mattarella for consultations at the presidential palace on Thursday afternoon.
The talks began in the morning in Rome with the smallest groups in the Italian parliament.
The M5S is Italy's largest single party after picking up just under 33 per cent of the vote in the March 4 election.
Mr Salvini's right-wing coalition, which includes Mr Berlusconi's Forza Italia (FI) party, is the largest group with 37 per cent.
Both Mr Di Maio and Mr Salvini have said that they are ready to govern with one another but Mr Di Maio is demanding that Mr Salvini break his alliance with media magnate Berlusconi, something the 45-year-old League leader has so far refused to do.
Mr Salvini presented a united right-wing front on Thursday, going to meet Mr Mattarella with Mr Berlusconi and his other coalition partner Giorgia Meloni – leader of the far-right Brothers of Italy (FdI) party – after the three went separately to the first round of talks last week.
Mr Salvini needs to keep his coalition intact for regional elections on April 29 in the northeastern region of Friuli-Venezia Giulia where the League is aiming for victory.
In order to win, it has to maintain its alliance with FI.
On Wednesday Alessandro Di Battista, an important figure within the M5S, said Mr Berlusconi represented everything that was wrong with Italy.
"They are the words of the many people who believe that Berlusconi belongs to the political past," Mr Di Maio said on current affairs program 'Porta a Porta'.
However, an agreement between Mr Di Maio and Mr Salvini is currently the best hope for a working parliamentary majority.
The Democratic Party (PD), the big loser of the election after its centre-left coalition gained just under 23 per cent of the vote, has been courted by the M5S.
The League has refused categorically to work with the PD.
The PD is deeply divided between those who prefer to remain in opposition rather than prop up a Di Maio government – a faction led by former prime minister Matteo Renzi – and those who want dialogue to stop the far-right League gaining power.
The issue may not be decided until April 21, when the PD will choose a new leader after Mr Renzi's post-election resignation.
The M5S chief whip in the Chamber Giulia Grillo told Il Fatto Quotidiano newspaper on Thursday that "up to now the PD has not wanted any dialogue".
On Friday, Mr Mattarella will meet the speakers of both houses of the Italian parliament and his predecessor Giorgio Napolitano.
The president could give one of the trio an exploratory mandate to try to move the discussions forward, or plan a third round of consultations.