She is the European Parliament's rapporteur on the EU resettlement framework. In October 2017, her proposal to resettle around 240 000 refugees per year in the EU member states was approved in the LIBE committee.
She was the Left Party's top candidate in the 2014 European Parliament election after she narrowly won a fight for the position against incumbent MEP Mikael Gustavsson.[2] She was elected as the sole member for the party.
In April 2014, Björk refused to buckle her seat belt on board in a Swedish plane after she became aware that the plane would transport an asylum seeker from Iran who was about to get deported. As a result, the man was transferred to another place.[4] He was later granted a permanent residency permit in Sweden.
She lives in Brussels with her partner and their two children.[4]
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