In a sign that Brussels remains open to a post-Brexit trade deal with the UK outside the single market, Mr Juncker added that "the United Kingdom will never be an ordinary third country for us".
A senior European Union official said separately it would be sending a "wrong signal" to suggest there was a softening of the European Union line, and dismissed suggestions the bloc's leaders might rejig instructions for chief negotiator Michel Barnier when they meet May in Austria next week. "It will not be the commission that will stand in the way of this". Too many of our journalists are intimidated, attacked or even murdered.
"There is no democracy without a free press".
The terror content proposal needs to be approved by the European Parliament and EU member states before becoming law.
The EU's executive arm said that in January alone, almost 7,000 items of propaganda were disseminated online from the Islamic State group, even as it has been driven out of most of its strongholds in Iraq and Syria.
"We need to be very clear on one point: judgments from the Court of Justice must be respected and implemented". I stick with the opinion that it was a correct decision after the fall of communism.
He said: "I welcome Prime Minister May's proposal to develop an ambitious new partnership for the future, after Brexit".
"The patriotism of the 21st century is to a double dimension, one national, the other european", a summary of the Luxembourg.
"To love Europe, is it love its nations".
Juncker said that another priority for the European Union should be the protection of the free press.
"In 1914, it caught the continent off guard". There have also been achievements in foreign policy, with the European Union establishing itself as a global leader.
It is part of the European Union plan to deepen ties with Africa to counter the growing influence of China. Numerous recent attacks in the European Union have shown how terrorists misuse the internet to spread their messages.
He said: "Let's remain true to what we are. Let us embrace patriotism and reject exaggerated nationalism that projects hate", he said at the start of his hour-long speech.
"When we are united we are a force to be reckoned with, something you can not avoid".
Europe is neither a "fortress" or "island", it is "multilateral", said the one who rejects "the unilateralism disrespectful to the expectations and hopes of others". In March, the Commission recommended a number of actions to be taken by companies and Member States to further step up this work.
And at the next time when the clocks would normally change again - on October 27, 2019 - member states would decide whether they want to change the clocks.
At a time when populist movements take over the burning question of migration in their electoral campaigns, Jean-Claude Juncker reiterated his opposition to the reinstatement of internal border controls. Where they now exist, they must be removed. "We are out of time". "Ad-hoc solutions are not adequate, we need more solidarity and it must be organised".
The PDF outlining all of the new proposed rules can be access here.