The 21-year-old can play as both left back and left rider and is described as a good pass player.
“It feels great to be able to come home to Sweden and play for Eskilstuna after 2.5 years in Brighton. A club with good organization and it feels like there is a good atmosphere in the group, "Nildén said in a press release.
Previously, she has played for the Bromma boys and AIK, which she left in 2018.
Brighton finished ninth in the English Premier League Super League last season, which prematurely ended due to the Corona crisis.
Eskilstuna is fifth in damallsvenskan.
Clip: Eskilstuna's rattle - won against Rosengård (10 July 2020)
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Learn more about browser supportEskilstuna's rattle - won away against Rosengård Photo: Bildbyrån