Her interior minister, Horst Seehofer, has been calling for Germany to turn back migrants at the border who have previously applied for asylum or registered as asylum-seekers in other European countries.
Both Macron and Merkel highlighted the need for the EU's external borders to be strengthened by boosting the so-called Frontex border and coast-guard agency. Merkel isn't against a stricter border regime, but wants this to be part of a European agreement, which she hopes to achieve at an EU summit at the end of this month.
"I'm not aware of the report that you're referencing, but I'd be happy to check into it and circle back with you", she said.
The ultra-conservative minister's "migration master plan", which included various controversial measures, has led to a crisis within the ruling coalition government.
Monday is "destiny day for Angela Merkel".More news: Striker Harry Kane lauded by Gareth Southgate after Tunisia double
More news: Senegal coach's intense celebrations makes him 'meme of the World Cup'
More news: Aquarius migrant rescue ship arrives in Spain
"My answer is that the interior minister presented the crime statistics a short while ago and they speak for themselves", Merkel told a news conference with French President Emmanuel Macron when asked about a recent flurry of tweets from Trump.
Merkel said she will hold talks at and around an upcoming European Union summit and report back to her own conservative party July 1.
The Bavarian party wants to tighten rules governing the entry into Germany of migrants who are first registered in another European Union country and those rejected for asylum. As she so often does with the men who challenge her, Merkel gave him just enough rope to hang himself.
NELSON: The interior minister and his party, which is facing a major challenge from far-right populists in upcoming regional elections, say they will unilaterally prevent migrants from crossing Bavaria's worldwide borders if Berlin doesn't act.
Getting all of the EU states on board for an overhaul of asylum practices and rules is "in my view one of the most decisive issues for European unity", the Christian Democrat chancellor said.
Three years after her decision to open Germany's borders to migrants fleeing war in Syria and Iraq and misery elsewhere, Merkel is still struggling to find a sustainable solution to end the grumbling from her Bavarian allies CSU over her liberal refugee policy. Her demise would likely further bolster authoritarian governments in eastern Europe, undermine the new Spanish government's humanitarian stance on migration and put at risk Macron's plans for euro-area reform.
At the centre of the tensions there is Mrs Merkel's widely criticised immigration programme, which brought more than a million refugees in the country in 2015.