I am an Italian graduate student interested in a specific PhD:" Evolutionary Relationships in the Planktonic Foraminifera [Planktonic Foraminifera, Molecular evolution, Palaeoceanography", in the university of Nottingham.
I cant figure out any information about studenships in this PhD. Should I contact the project supervisor or there is another way to have this information. Moreover how should I aplly in the proper way?

Contact the supervisor and ask if the studentship is still available. It is marked on FindAPhD with an EU flag which means that unless the studentship has been filled, it is available to UK and EU students. The grant to EU students may only cover course fees and not living expences - you should check this.