EU lawmakers backed the proposal with 564 members of parliament voting in favour, 20 votes against and 12 abstentions.
The European Parliament holds the first session of its new term in Strasbourg on Tuesday.
Mr Metsola said the EU reached a landmark agreement on a new set of rules to manage migration and asylum.
With 419 votes in favour, 126 votes against, and 30 abstentions, MEPS resolved to begin discussions on a new regulation on the screening of citizens from third countries.
The European Union has adopted a new strategy to digitalise the visa application process and eliminate the difficulties of submitting a physical Schengen visa application.
Thousands of workers and documents, therefore, have to be regularly transferred between the cities.
Mr Puigdemont is also seeking damages for the monthly parliamentary allowance he did not receive as a result.
