West Ham United are not the only side credited with interest in the Colombia international.
The Colombian striker is said to have only recently renewed his contract with Sampdoria, although it is suggested he is keen to leave the Serie A side this summer.
And West Ham could be his next destination, with Hammers boss Slaven Bilic reportedly making a new striker his priority during the summer transfer window.
Muriel scored 11 goals and created another nine in 31 league outings last season, which has prompted interest from Roma, Inter Milan, Leicester City and Liverpool according to The Sun.
However, West Ham could have the upper hand if other clubs are unwilling to stump up the £24 million required to prise him away from Genoa.
The Hammers failed in a bid to sign Muriel’s international teammate, Carlos Bacca, from AC Milan a year ago, with eventual recruits Simone Zaza and Jonathan Calleri struggling to solve Bilic’s goalscoring problem.
Manchester City’s Kelechi Iheanacho and Arsenal’s Olivier Giroud are two other name being strongly linked with moves to the London Stadium.
Should West Ham pay Muriel’s buy-out clause?