In 2006, Eigsti received two GRAMMY nominations for Best Jazz Solo and Best Instrumental Composition after releasing "Lucky to Be Me" (Concord Jazz). Since then, Eigsti released two much-acclaimed albums after this, "Let it Come to You" (2008 Concord) and "Daylight at Midnight" (2010 Concord). Eigsti has also been featured as a sideman on many award-winning albums throughout the years as well.
Eigsti has had the good fortune of performing, touring or recording with such luminaries as Dave Brubeck, Joshua Redman, Nicholas Payton, Esperanza Spalding, Chris Botti, David Benoit, Christian McBride, Marian McPartland, Red Holloway, James Moody, Chris Potter, Ernestine Anderson, Kurt Rosenwinkel, Clayton Brothers, Dianne Schuur, Ambrose Akinmusire, Hank Jones, Brubeck Brothers, Frederica Von Stade, among many others over the years.
Eigsti has travelled internationally quite extensively with his trio and quartet, and also frequently tours with artists such as Julian Lage, Gretchen Parlato, Kendrick Scott Oracle, Chris Botti, Sachal Vasandani, and Eric Harland Voyager. Eigsti's career has involved much global touring, and he has performed at many premiere venues throughout the world, including the Hollywood Bowl, Carnegie Hall, Salle Pleyel, Royal Festival Hall, Vienna Konzerthaus, Olympia Hall, Massey Hall, Davies Symphony Hall, and many top festivals including Montreal Jazz Festival, North Sea Jazz Festival, Singapore Mosaic Music Festival, Monterey Jazz Festival, Stockholm Jazz Festival, Istanbul Jazz Festival, Quito Jazz Festival, Newport Jazz Festival, Chicago Jazz Festival, Toronto Jazz Festival, and many more performances
Eigsti has also been featured numerous times in various television specials, NPR appearances, and recently composed the theme music to the motion picture "Detachment" (2011) starring Oscar-winner Adrien Brody.
In addition to leading and performing with various small ensembles, Eigsti frequently has had the opportunity to work with, compose for and orchestrate music for various symphony orchestras, and has written a growing repertoire of music for orchestra and jazz ensemble. Various soloist and compositional features include the San José Chamber Orchestra, Oakland East Bay Symphony, Sacramento Philharmonic, Boston Youth Symphony, New York Pops, Indianapolis Symphony, San Jose Youth Symphony, Bear Valley Symphony, Tassajara Symphony, Reno Philharmonic and multiple collaborations with the Peninsula Symphony Orchestra.