"Our understanding from what the government is telling us is that for (the government) this is a closed book - it does not intend to put in a further application for GSP Plus," she told a news conference Friday.
Lambert, a member of the Greens party of the UK, led a seven-member delegation of the European Parliament to Sri Lanka this week for talks with government leaders, opposition politicians and civil society representatives.
They also visited northern Sri Lanka to assess the situation after the end of the island 30-year ethnic war in 2009 and visited camps for refugees.
Lambert said the government wanted to put the GSP Plus issue behind it and develop fresh ties with the EU.
The GSP Plus deal was not renewed last year owing to EU concerns about human rights abuses i