Arsenal's, Chelsea ever-present and Liverpool playmaker could be among the names in the frame as Ernesto Valverde begins his rebuild of Barcelona.
The Daily Mail reports Valverde would like to make Barca's style of play more unpredictable, with Azpilicueta's versatility seen as an advantage should he wish to use a back three. Coutinho, meanwhile, could be viewed as a long-term replacement for Andres Iniesta.
With Chelsea's Eden Hazard also a major LaLiga target, having been linked with Barca's rivals Real Madrid, the Sun claims Antonio Conte will move for Napoli forwardas a replacement.
A fee of £45million is reported, with Hazard tipped to bring in double that amount. Insigne, 26, scored 20 goals for Napoli last season and has played under Conte in the Italy national team.
Former Blues skippercould continue his playing career with Championship side Aston Villa, the Mail reports, after he was pictured playing golf with Villa boss Steve Bruce last week.
Terry left Chelsea at the end of the season after winning his fifth Premier League title in 19 years in their first team.
Manchester City face frustration in their efforts to sign, with the Daily Mirror reporting Arsenal are unwilling to sell to a Premier League rival. The Chilean is instead set to move to Bayern Munich, the paper claims.
@beINSPORTSUSA: Both @ManUtd and @AlvaroMorata are good to go, just waiting on one last hitch ð : bit.ly/2sv7NMG
@DailyPostNGR: Arsenal fans ask Wenger to re-sign Fabregas after Conte asks midfielder to leave.
: The Daily Telegraph reports Arsenal could have to pay almost £60m to sign the France striker from Lyon. Lacazette had been widely linked with Atletico Madrid until they failed to overturn a transfer ban.
: The Paris St Germain midfielder is mentioned by the Mail as part of Valverde's Barcelona plans, while the Daily Mirror links him with a move to Chelsea.
: The England midfielder's days at Everton look to be numbered as the club close in on both Swansea's Gylfi Sigurdsson and Ajax captain Davy Klaassen as replacements. Tottenham and Manchester United have been mentioned as possible destinations for Barkley.