"Our relations are good at all levels and now we have to focus more on the economy," Topi said.
They also agreed that the two countries were now directing their full attention to their European Union membership bids.
Mesic said that the joint admission of Albania and Croatia to NATO on 1 April this year, represented "a new element" in their bilateral relations and that it could serve as an encouragement for broadening their cooperation".
"We should particularly strengthen cooperation on the economic front," Mesic said, adding that the talks also addressed plans to liberalise the visa regime for Albanians travelling to Croatia.
"Albania has full liberalised the visa regime for Croatian nationals," Mesic said, and Topi added that Albania had lifted the visa requirements for Croatian citizens in 2002 and that now it expected Croatia to make the same move.
Asked about his country's European prospects, Topi said that with the admission to NATO Albania already carried out a lot of reforms necessary for the EU membership.
"We are, however, aware that the road towards the European Union is much longer," the Albanian president said.
Albania formally applied for EU membership last month.
As regards cooperation between the two countries in the construction of a nuclear power plant in Albania, Mesic said that Croatia should first exploit the capacity of hydro power plants and thermal power plants and that it should also consider renewables such as wind and solar energy.
"We will need more and more electricity and in the future we must also count on nuclear power," Mesic said, adding that a decision on this would be made in due course.