James Rodriguez believes his Colombia team-mate Radamel Falcao would be a huge success if he decided to follow him to Real Madrid.
Rodriguez on Tuesday signed a six-year contract with European champions Real after Monaco accepted a reported 80 million euro (£63million) transfer fee that, if accurate, would make the forward the fourth most expensive player of all time.
Only Gareth Bale, Cristiano Ronaldo - both new team-mates for Rodriguez at the Bernabeu - and Barcelona's Luis Suarez have moved clubs for more money.
Rodriguez excelled at the World Cup, scoring six goals to win the Golden Boot in the absence of injured Colombia hitman Falcao, at the time his colleague at Monaco.
And although the former Atletico Madrid striker has not openly confessed to wanting a switch to Real, Rodriguez feels he would be a "great" addition to Carlo Ancelotti's side.
Speaking at his introductory press conference, Rodriguez said: "He has not said anything to me and it's not really for me to talk about, but Falcao is a great goalscorer and could play here.
"It is up to the club."
Falcao missed the World Cup after suffering knee ligament damage in January and is steadily working his way back to full fitness.
Whether or not his countryman follows him to Spain, Rodriguez now has a "dream" opportunity to work alongside Bale and Ronaldo in the pursuit of further glory following Madrid's recent Champions League triumph.
He said: "I just want to help make history and bring joy to the Madrid fans.
"This is a club which is used to winning and I'm prepared mentally and physically to do so. It is a pleasure to be among so many stars and I'm sure I'll learn a lot from everyone."
Top 10 most expensive players ever
Top 10 most expensive players ever
1/10 Gareth Bale - £86million
Tottenham to Real Madrid (2013) - Bale became the world's most expensive player ever when he made the switch from Spurs to Spain.
2/10 Cristiano Ronaldo - £80m
Manchester United to Real Madrid (2009) - Ronaldo smashed the record transfer fee when he left Old Trafford.
3/10 Luis Suarez - £75m
Liverpool to Barcelona (2014) - The Reds cut ties with Suarez after the 2014 World Cup making a £50m profit.
4/10 Neymar - £71.5m
Santos to Barcelona (2013) - The Brazilian finally completed his long awaited move to Europe after a complex deal.
5/10 James Rodriguez - £63m
Monaco to Real Madrid (2014) - After a superb World Cup showing, the Colombian became Real's latest big money signing.
6/10 Zlatan Ibrahimovic - £59m
Inter Milan to Barcelona (2009) - The Swed only spent two seasons at the Nou Camp despite his mammoth price-tag.
7/10 Kaka - £56m
AC Milan to Real Madrid (2009) - The Brazilian joined in the same summer as Ronaldo but failed to make a real impact at the Bernabeu.
8/10 Edinson Cavani - £55m
Napoli to PSG (2013) - The Uruguayan's deal made him the most expensive player ever purchased by a French team.
9/10 Zinedine Zidane - £53m
Juventus to Real Madrid (2001) - Became the world's most expensive player when he moved to the Bernabeu and more than paid it back, particularly with his spectacular goal in the 2002 Champions League final against Bayer Leverkusen.
10/10 Radamel Falcao - £51m
Atletico Madrid to Monaco (2013) - The newly funded Monaco signalled their intent by signing the Colombian.
Rodriguez was one of the revelations of the World Cup, scoring in each of Colombia's games as they reached the quarter-finals of the competition for the very first time, eventually losing 2-1 to hosts Brazil.
His stunning 25-yard volley against Uruguay was voted goal of the tournament on FIFA.com.
After signing his contract alongside Real president Florentino Perez and being formally presented in the Bernabeu's presidential box on Tuesday, Rodriguez retreated inside to change into the famous white kit for the first time.
He emerged to a rapturous reception from a 45,000-strong crowd, around a third of whom were wearing Colombia shirts.
Then, while he kicked balls into the crowd - as is traditional for new high-profile arrivals to do - he was rushed by several enthusiastic supporters and made a point of embracing them before they were ushered away by security.
Rodriguez added: "I've always followed Real Madrid and always dreamed of playing here.
"I've suffered a lot to get here and when you do that then it tastes so much better.
"I will never forget this day. I hope to work hard, to train well, and to experience a lot of joy here.
"I know I am under a lot of pressure, but I am happy to face it."
Rodriguez began his professional career with Colombian side Envigado before moving down to Argentinian club Banfield aged 17.
He joined Porto for £4million in 2010, and three years later he signed for Monaco for £38.5million after helping the Portuguese side win a hat-trick of league titles and the 2011 Europa League.
The left-footed forward scored 10 goals in 38 matches in all competitions for Monaco last term as they finished second in Ligue 1 behind Paris St Germain.