Costa had a disappointing campaign last season but is back to his best under the leadership of Antonio Conte, firing home 10 goals as the Blues have marched to the top of the Premier League table.
His form has not gone unnoticed elsewhere and reports are rife that Inter are ready to test Chelsea’s resolve by launching a mammoth bid at the end of the season.
This time last year, Costa looked to be heading for the exit door as he struggled for form, but the Blues will do all they can to rebuff all interest.
Reports are rife that Chelsea will offer the Spain international a bumper new contract and he could be tempted to sign it as Chelsea continue to flourish.
Real Madrid and Atletico Madrid are also keen but Chelsea will have no intention of cashing in on the strike ace.
A goal apiece from James Tomkins and Luka Milivojevic handed Crystal Palace a crucial 2-0 win over Huddersfield at the John Smith's Stadium on Saturday evening.
Manchester United bounced back from their Champions League exit as they beat Brighton 2-0 at Old Trafford on Saturday night to reach the FA Cup semi-finals.
Tottenham reached the FA Cup semi-finals after they cruised to a 3-0 victory over Swansea in their quarter-final clash at the Liberty Stadium on Saturday.
Premier League basement club West Brom squandered the lead as they suffered a 2-1 defeat to Bournemouth at the Vitality Stadium on Saturday.
Chesterfield boss Jack Lester felt his side were unlucky not to claim all three points after their 1-1 draw at Cheltenham.
New Swindon manager Phil Brown revelled in his side's victory at Cambridge in his first game in charge.