The Brazilian-born Spain U-23 international has been in terrific form for the Lisbon side this season, netting 10 goals in all competitions – including one in last week’s Europa League win at Tottenham – despite not being an orthodox striker.
His fine displays have alerted Brendan Rodgers, who is believed to be in the midst of lining up a number of high profile signings to take his side to the ‘next level’.
Benfica value their 23-year-old highly, and are rumoured to be holding out for around £25m to let him leave.
Zenit Saint-Petersburg also want Rodrigo, but the Merseysiders are hopeful that their connections in Portugal – which were key in their securing of Tiago Ilori from Sporting Lisbon last year – will tilt the odds in their favour.
The versatile forward moved to Spain as a youngster and signed for Celta Vigo before joining Real Madrid’s youth set-up
He failed to make the grade at the Bernabeu, but was handed a lifeline by Benfica, from whom he enjoyed a brief loan spell at Bolton in 2010.