According to the Daily Mail, Arsenal, Everton and Liverpool officials travelled to Holland on Sunday to watch Martins Indi and his Feyenoord side beat PSV 2-0 away from home.
The Portuguese-born Netherlands international is expected to leave the Eredivisie club at the end of the season.
It could be something of a clear out this summer, with defender Daryl Janmaat and Stefan de Vrij also believed to be heading out the exit door at the end of the season.
Martins Indi has made 100 league appearances for Feyenoord since making his first-debut in 2010, and he has 13 international caps for the Netherlands.
Top of the table Liverpool have had scouts in Holland for much of the second half of the season keeping tabs on transfer targets for next season.
Anfield boss Brendan Rodgers has done an incredible job this season with Liverpool poised to win their first Premier League title if they can take victory in their remaining four matches.
Likewise Everton, under Roberto Martinez, are planning for next season with Champions League football still a possibility. Martinez has his eye on Martins Indi, as does Rodgers, should the Toffees clinch a top four spot.
And Arsenal, who Everton are chasing hard for fourth place, are also watching the talented 22-year-old, as Thomas Vermaelen may leave for first-team football.